Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1077555: Starting salaries of 60 college graduates who have taken a statistics course have a mean of $42,117 and a standard deviation of $8,714.
Using 99% confidence, find both of the following:
A. The margin of error E
B. The confidence interval for the mean μ:
Click here to see answer by Boreal(15235)   |
Question 1077560: Determine the standardized test statistic, z, to test the claim about the population proportion ≠ 0.325
given n=42 and p (with caret above) =0.247. Use .α=0.05.
Is there answer:
A.
−2.575
B.
−1.32
C.
−1.54
D.
−1.08
The answer I came up with isn't even one of these so I'm stuck. Thanks!
Click here to see answer by Boreal(15235) |
Question 1077635: Please help me solve part (c), what does it mean.
In the states, the speed of motorists travelling on the states highway is uniformly distributed between 55 and 115 miles per hour.
(a) Derive the density function for speed of motorists. Draw a graph to explain your answer.
(b) If the speed of a motorist was checked at random, what is the probability that it will be travelling between 65 and 85 miles per hour?
(c) A study by highway safety professionals find that motorists travelling at speeds above the third quartile (75th percentile) are highly prone to accidents. They ask the Governor of the states to ban travelling at speeds above the third quartile. What should be the speed limit set by the Governor?
Click here to see answer by math_helper(2461)  |
Question 1077622: combination
one bag contains 6 white balls and 8 black, and a second bag contains 3 white and 6 black balls. how many group of 6 balls each can be selected consisting of 4 black and 2 white ball,
a)if all balls come from the same bag?
b) if the white balls come from one bag and the black balls from another bag?
Click here to see answer by Boreal(15235) |
Question 1077663: Need help with p value, please explain how to, thank you!
Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are the auditor for a very large corporation. The revenue file contains millions of numbers in a large computer data bank. You draw a random sample of n = 229 numbers from this file and r = 86 have a first nonzero digit of 1. Let p represent the population proportion of all numbers in the computer file that have a leading digit of 1.
(i) Test the claim that p is more than 0.301. Use α = 0.10.
(a) What is the level of significance?
.10
Correct: Your answer is correct.
State the null and alternate hypotheses.
H0: p = 0.301; H1: p ≠ 0.301
H0: p > 0.301; H1: p = 0.301
H0: p = 0.301; H1: p > 0.301
H0: p = 0.301; H1: p < 0.301
Correct: Your answer is correct.
(b) What sampling distribution will you use?
The standard normal, since np > 5 and nq > 5.
The Student's t, since np > 5 and nq > 5.
The standard normal, since np < 5 and nq < 5.
The Student's t, since np < 5 and nq < 5.
Correct: Your answer is correct.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
2.46
Correct: Your answer is correct.
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Click here to see answer by Boreal(15235) |
Question 1077656: The data in the table represent the ages of the winners of an award for the past five years. Use the data to answer questions (a) through (e).
Data table: 61 36
31 31
50
a) compute the population mean
b)compute the mean for all 5C2=10 samples with a sample size of 2
c)Construct a sampling distribution for the mean by listing the sample mean and their corresponding probabilities.
d) compute the mean of the sampling distribution
Is anyone able to help and answer any of this? I'm so stuck on this problem, thank you!
Click here to see answer by Boreal(15235) |
Question 1077666: Help with p value, I entered tcdf(1.063,99,7), not working!
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.
Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose a random sample of companies yielded the following data:
B: Percent increase
for company 28 22 26 18 6 4 21 37
A: Percent increase
for CEO 15 19 28 14 -4 19 15 30
Do these data indicate that the population mean percentage increase in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 5% level of significance.
(a) What is the level of significance?
.05
Correct: Your answer is correct.
State the null and alternate hypotheses.
H0: μd = 0; H1: μd > 0
H0: μd = 0; H1: μd < 0
H0: μd > 0; H1: μd = 0
H0: μd ≠ 0; H1: μd = 0
H0: μd = 0; H1: μd ≠ 0
Correct: Your answer is correct.
(b) What sampling distribution will you use? What assumptions are you making?
The standard normal. We assume that d has an approximately uniform distribution.
The Student's t. We assume that d has an approximately uniform distribution.
The Student's t. We assume that d has an approximately normal distribution.
The standard normal. We assume that d has an approximately normal distribution.
Correct: Your answer is correct.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
1.063
Correct: Your answer is correct.
(c) Find the P-value. (Round your answer to four decimal places.)
.1615
Incorrect: Your answer is incorrect.
Click here to see answer by Boreal(15235) |
Question 1077666: Help with p value, I entered tcdf(1.063,99,7), not working!
In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer.
Are America's top chief executive officers (CEOs) really worth all that money? One way to answer this question is to look at row B, the annual company percentage increase in revenue, versus row A, the CEO's annual percentage salary increase in that same company. Suppose a random sample of companies yielded the following data:
B: Percent increase
for company 28 22 26 18 6 4 21 37
A: Percent increase
for CEO 15 19 28 14 -4 19 15 30
Do these data indicate that the population mean percentage increase in corporate revenue (row B) is different from the population mean percentage increase in CEO salary? Use a 5% level of significance.
(a) What is the level of significance?
.05
Correct: Your answer is correct.
State the null and alternate hypotheses.
H0: μd = 0; H1: μd > 0
H0: μd = 0; H1: μd < 0
H0: μd > 0; H1: μd = 0
H0: μd ≠ 0; H1: μd = 0
H0: μd = 0; H1: μd ≠ 0
Correct: Your answer is correct.
(b) What sampling distribution will you use? What assumptions are you making?
The standard normal. We assume that d has an approximately uniform distribution.
The Student's t. We assume that d has an approximately uniform distribution.
The Student's t. We assume that d has an approximately normal distribution.
The standard normal. We assume that d has an approximately normal distribution.
Correct: Your answer is correct.
What is the value of the sample test statistic? (Round your answer to three decimal places.)
1.063
Correct: Your answer is correct.
(c) Find the P-value. (Round your answer to four decimal places.)
.1615
Incorrect: Your answer is incorrect.
Click here to see answer by Theo(13342)  |
Question 1077671: P value tcdf(2.45,99,10) not working
REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults†. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 11 children (9 years old) showed that they had an average REM sleep time of x1 = 2.5 hours per night. From previous studies, it is known that σ1 = 0.6 hour. Another random sample of n2 = 11 adults showed that they had an average REM sleep time of x2 = 1.70 hours per night. Previous studies show that σ2 = 0.9 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance.
(a) What is the level of significance?
.01
Correct: Your answer is correct.
State the null and alternate hypotheses.
H0: μ1 = μ2; H1: μ1 < μ2
H0: μ1 = μ2; H1: μ1 ≠ μ2
H0: μ1 = μ2; H1: μ1 > μ2
H0: μ1 < μ2; H1: μ1 = μ2
Correct: Your answer is correct.
(b) What sampling distribution will you use? What assumptions are you making?
The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
Correct: Your answer is correct.
What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.)
2.45
Correct: Your answer is correct.
(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
.0171
Incorrect: Your answer is incorrect.
THank you!
Click here to see answer by Boreal(15235) |
Question 1077671: P value tcdf(2.45,99,10) not working
REM (rapid eye movement) sleep is sleep during which most dreams occur. Each night a person has both REM and non-REM sleep. However, it is thought that children have more REM sleep than adults†. Assume that REM sleep time is normally distributed for both children and adults. A random sample of n1 = 11 children (9 years old) showed that they had an average REM sleep time of x1 = 2.5 hours per night. From previous studies, it is known that σ1 = 0.6 hour. Another random sample of n2 = 11 adults showed that they had an average REM sleep time of x2 = 1.70 hours per night. Previous studies show that σ2 = 0.9 hour. Do these data indicate that, on average, children tend to have more REM sleep than adults? Use a 1% level of significance.
(a) What is the level of significance?
.01
Correct: Your answer is correct.
State the null and alternate hypotheses.
H0: μ1 = μ2; H1: μ1 < μ2
H0: μ1 = μ2; H1: μ1 ≠ μ2
H0: μ1 = μ2; H1: μ1 > μ2
H0: μ1 < μ2; H1: μ1 = μ2
Correct: Your answer is correct.
(b) What sampling distribution will you use? What assumptions are you making?
The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
Correct: Your answer is correct.
What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.)
2.45
Correct: Your answer is correct.
(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
.0171
Incorrect: Your answer is incorrect.
THank you!
Click here to see answer by ikleyn(52754)  |
Question 1077503: a random sample of 8 us counties yielded the following numbers of cigarettes smoked annually per capita: 2206, 2391, 2540, 2116, 2010, 2791, 2392,2692. assume the data is normally distributed
construct a 95% confidence interval for the population mean per capita number of cigarettes smoked in all us counties
Click here to see answer by Boreal(15235) |
Question 1077677: Why can't I get p value???? How would I enter info into calculator?
A random sample of n1 = 19 winter days in Denver gave a sample mean pollution index x1 = 43. Previous studies show that σ1 = 17. For Englewood (a suburb of Denver), a random sample of n2 = 11 winter days gave a sample mean pollution index of x2 = 52. Previous studies show that σ2 = 18. Assume the pollution index is normally distributed in both Englewood and Denver. Do these data indicate that the mean population pollution index of Englewood is different (either way) from that of Denver in the winter? Use a 1% level of significance.
(a) What is the level of significance?
.01
Correct: Your answer is correct.
State the null and alternate hypotheses.
H0: μ1 = μ2; H1: μ1 ≠ μ2
H0: μ1 = μ2; H1: μ1 > μ2
H0: μ1 = μ2; H1: μ1 < μ2
H0: μ1 < μ2; H1: μ1 = μ2
Correct: Your answer is correct.
(b) What sampling distribution will you use? What assumptions are you making?
The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
Correct: Your answer is correct.
What is the value of the sample test statistic? (Test the difference μ1 − μ2. Round your answer to two decimal places.)
-1.35
Correct: Your answer is correct.
(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
.0980
Incorrect: Your answer is incorrect.
Click here to see answer by Boreal(15235) |
Question 1077654: 8.1 #6
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=176 days and σ=9 days.
A: What is the probability that a randomly selected pregnancy lasts less than 173 days?
Click here to see answer by Boreal(15235) |
Question 1077710: The capacity of an elevator is 12 people or 1980 pounds capacity will be exceeded if 12 people have weights with a mean greater than 1980÷12 = 165 pounds supposed to people have weights that are normally distributed with a mean of 170 pounds and a standard deviation of 28 lb
Click here to see answer by Boreal(15235) |
Question 1077580: The owner of a computer repair shop has determined that their daily revenue has mean $7200 and a standard deviation $1200. The daily revenue totals for the next 30 days will be monitored. What is the probability that a mean daily revenue for the next 30 days will exceed $7500?
a. Sketch, shade and label graph
b. Calculate the standard error
c. Calculate the probability (Don’t forget to indicate the calculator menu you used)
Click here to see answer by Boreal(15235) |
Question 1077573: 1. A simple random sample of 15-year old boys from one city is obtained and their weights (in pounds) are listed below. Use a 0.01 significance level to test the claim that the population mean is greater than 147 lb.
146, 140, 160, 151, 134, 189, 157, 144, 175, 127, 164
b. Use your conclusion to determine if a boy who weights 150 lbs is considered over weight? Why?
Click here to see answer by Boreal(15235) |
Question 1077551: A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 36 minutes. The owner has randomly selected 20
customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 36 minutes. Suppose the P-value for the test was found to be
0.0275. State the correct conclusion.
A.
At α=0.05, we fail to reject H0.
B.
At α=0.02, we reject H0.
C.
At α=0.03, we fail to reject H0.
D.
At α=0.025, we fail to reject H0.
I think it is A but I'm not for sure.
Click here to see answer by Theo(13342) |
Question 1077701: The amount of fluid in a half-liter (500 ml) bottle of diet cola is normally distributed but the population mean is not known. To develop an estimate of the mean, a sample of 27 bottles reveals a sample mean weight of 502.1 ml with a sample standard deviation of
1.20 ml. Construct and interpret a 90 percent confidence interval for the mean of the population of half-liter diet cola bottles.
Click here to see answer by Boreal(15235) |
Question 1077746: Two dice, each with four faces marked 1,2,3,4 are thrown together.
(a)What is the most likely total score on the faces pointing downwards?
(b) What is the probability of obtaining this score on three successive throws
Click here to see answer by Boreal(15235) |
Question 1077565: The headline reporting the results of a poll stated, "Majority of Adults at Personal Best in the Morning." The results indicated that a survey of 1400 adults resulted in 55% stating they were at their personal best in the morning. The poll's results were reported with a margin of error of 22%.
Explain why the poll's headline is accurate
A.
More than 30 people were surveyed.
B.
More than 50% of the respondents answered in the affirmative.
C.
All the values within the margin of error are greater than 50%.
Click here to see answer by Boreal(15235) |
Question 1077578: Confidence Intervals: Identify all given stats, indicate what menu (1-prop, T, inference o) and distribution was used.
3. The football coach randomly selects ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: 7.0, 10.8, 9.5, 8.0, 11.5, 7.5, 6.4, 11.3, 10.2, 12.6. Assume a normal distribution. Determine a 95% confidence interval for the mean time for all players.
a. Sketch a graph
b. Find the point estimate
c. Construct the interval and find the critical value
d. Find the error
e. How would you rate a player who completes the drill in 8 minutes? Why?
Click here to see answer by Boreal(15235) |
Question 1077783: The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%). The sample statistics from one experiment include 570570 peas with 169169 of them having yellow pods. Find the value of the test statistic.
Click here to see answer by Boreal(15235) |
Question 1077782: 9.2 #17
The following data represent the asking price of a simple random sample of homes for sale. Construct a 99% confidence interval with and without the outlier included. Comment on the effect the outlier has on the confidence interval
$296,500
$279,900
$219,900
$143,000
$205,800
$249,000
$459,900
$273,500
$187,500
$178,500
$147,800
$264,900
a) Construct a 99% confidence interval with the outlier included.
b)Construct a 99% confidence interval with the outlier removed.
Click here to see answer by Boreal(15235) |
Question 1077781: 9.2 #16
People were polled on how many books they read the previous year. Initial survey results indicate that s=17.7 books. Complete parts (a) through (d) below.
a) How many subjects are needed to estimate the mean number of books read the previous year within four books with 95% confidence?
b) How many subjects are needed to estimate the mean number of books read the previous year within 2 books with 95% confidence?
this confidence level requites how many subjects?
c) how many subjects are needed to estimate the mean number of books read the previous year within four books with 9% confidence?
Click here to see answer by Boreal(15235) |
Question 1077776: 8.1 #8
Suppose a geyser has a mean time between eruptions of 72 minutes. Let the interval of time between the eruptions be normally distributed with standard deviation 14 minutes.
What is the probability that a randomly selected time interval between eruptions is longer than 79 minutes?
Click here to see answer by Boreal(15235) |
Question 1077773: The claim is that the proportion of peas with yellow pods is equal to 0.25 (or 25%). The sample statistics from one experiment include 600 peas with 183 of them having yellow pods. Find the value of the test statistic.
Click here to see answer by Boreal(15235) |
Question 1077772: 8.1 #7
The reading speed of second grade students is approximately normal, with a mean of 89 words per minute (wpm) and a standard deviation of 10 wpm.
a) What is the probability a randomly selected student will read more than
89 words per minute?
b) What is the probability that a randomly selected sample of 10 second grade students results in a mean reading rate of more than the 89 words per minute?
c) What is the probability that a randomly selected sample of 20 second grade students results in a mean reading rate of more than the 89 words per minute?
Click here to see answer by Boreal(15235) |
Question 1077770: 8.1 #6
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ=176 and σ=9 days.
I know the probability that a randomly selected pregnancy lasts less that 173 days is about 0.3694.
However, my question is, what is the probability that a sample of 24 pregnancies has a mean gestation period of less than 173 days?
Click here to see answer by Boreal(15235) |
Question 1077769: 8.1 #5
A simple random sample of size n=12 is obtained from a population with
μ=69 and σ=16.
=
(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that this condition is true, describe the sampling distribution of
x ( with overbar on top of x).
(b) Assuming the normal model can be used, determine P(x<72.2).
(c) Assuming the normal model can be used, determine P(x≥70.7).
I know what A is, μx=69 and σ=16/the square root of 16
I just don't know what b or c are. thank you!
Click here to see answer by Boreal(15235) |
Question 1077502: combination
one bag contains 6 white balls and 8 black, and a second bag contains 3 white and 6 black balls. how many group of 6 balls each can be selected consisting of 4 black and 2 white ball,
a)if all balls come from the same bag?
b) if the white balls come from one bag and the black balls from another bag?
Click here to see answer by Boreal(15235) |
Question 1077528: combination
one bag contains 6 white balls and 8 black, and a second bag contains 3 white and 6 black balls. how many group of 6 balls each can be selected consisting of 4 black and 2 white ball,
a)if all balls come from the same bag?
b) if the white balls come from one bag and the black balls from another bag?
Click here to see answer by Boreal(15235) |
Question 1077882: Five friends go to a drive-in hamburger restaurant for slushies. The restaurant offers eight different kinds of slushies. If the friends choose randomly, what are the chances that they all picked different flavor slushies?
Click here to see answer by ikleyn(52754) |
Question 1077934: p Value?
Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 70% of all arrests are of males aged 15 to 34 years†. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 35 arrests last month, 29 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different from 70%.
(a) What is the level of significance?
.01
Correct: Your answer is correct.
State the null and alternate hypotheses.
H0: p < 0 .7; H1: p = 0.7
H0: p = 0 .7; H1: p < 0.7
H0: p = 0.7; H1: p ≠ 0.7
H0: p = 0.7; H1: p > 0.7
H0: p ≠ 0.7; H1: p = 0.7
Correct: Your answer is correct.
(b) What sampling distribution will you use?
The Student's t, since np > 5 and nq > 5.
The standard normal, since np < 5 and nq < 5.
The Student's t, since np < 5 and nq < 5.
The standard normal, since np > 5 and nq > 5.
Correct: Your answer is correct.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
1.66
Correct: Your answer is correct.
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
.0485
Incorrect: Your answer is incorrect.
Click here to see answer by Boreal(15235) |
Question 1077935: 10.3.31
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with
mu equals μ=52. The teacher obtains a random sample of 1800 students, puts them through the review class, and finds that the mean math score of the
1800 students is 52 with a standard deviation of 117.
a) Test the hypothesis at the α=0.10 level of significance. Is a mean math score of 529 statistically significantly higher than
522? Conduct a hypothesis test using the P-value approach.
what is the test statistic? t0=????
what is the p value? P=???
Click here to see answer by Boreal(15235) |
Question 1077925: Supposed that an IQ score has a bell shape distribution with population of 100 and standard deviation of 15. A person with an IQ score greater than 145 is considered a genius. Does the empirical rule support this statement? Explain.
Click here to see answer by Boreal(15235) |
Question 1077950: A deck of 10 cards consists of 7 cards that are black on both sides, and 3 cards that are black on one side
and white on the other. 2 cards are selected randomly and placed flat on the table. Calculate the
probability that 1 black and 1 white side are showing.
Click here to see answer by Boreal(15235) |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580, 41581..41625, 41626..41670, 41671..41715, 41716..41760, 41761..41805, 41806..41850, 41851..41895, 41896..41940, 41941..41985, 41986..42030, 42031..42075, 42076..42120, 42121..42165, 42166..42210, 42211..42255, 42256..42300, 42301..42345, 42346..42390, 42391..42435, 42436..42480, 42481..42525, 42526..42570, 42571..42615, 42616..42660, 42661..42705, 42706..42750, 42751..42795, 42796..42840, 42841..42885, 42886..42930, 42931..42975, 42976..43020, 43021..43065, 43066..43110, 43111..43155, 43156..43200, 43201..43245, 43246..43290, 43291..43335, 43336..43380, 43381..43425, 43426..43470, 43471..43515, 43516..43560, 43561..43605, 43606..43650, 43651..43695, 43696..43740, 43741..43785, 43786..43830, 43831..43875, 43876..43920, 43921..43965, 43966..44010, 44011..44055, 44056..44100, 44101..44145, 44146..44190, 44191..44235, 44236..44280, 44281..44325, 44326..44370, 44371..44415, 44416..44460, 44461..44505, 44506..44550, 44551..44595, 44596..44640, 44641..44685, 44686..44730, 44731..44775, 44776..44820, 44821..44865, 44866..44910, 44911..44955, 44956..45000, 45001..45045, 45046..45090, 45091..45135, 45136..45180, 45181..45225, 45226..45270, 45271..45315, 45316..45360, 45361..45405, 45406..45450, 45451..45495, 45496..45540, 45541..45585, 45586..45630, 45631..45675, 45676..45720, 45721..45765, 45766..45810, 45811..45855, 45856..45900, 45901..45945, 45946..45990, 45991..46035, 46036..46080, 46081..46125, 46126..46170, 46171..46215, 46216..46260, 46261..46305, 46306..46350, 46351..46395, 46396..46440, 46441..46485, 46486..46530, 46531..46575, 46576..46620, 46621..46665, 46666..46710, 46711..46755, 46756..46800, 46801..46845, 46846..46890, 46891..46935, 46936..46980, 46981..47025, 47026..47070, 47071..47115, 47116..47160, 47161..47205, 47206..47250, 47251..47295, 47296..47340, 47341..47385, 47386..47430, 47431..47475, 47476..47520, 47521..47565, 47566..47610, 47611..47655, 47656..47700, 47701..47745, 47746..47790, 47791..47835, 47836..47880, 47881..47925, 47926..47970, 47971..48015, 48016..48060, 48061..48105, 48106..48150, 48151..48195, 48196..48240, 48241..48285, 48286..48330, 48331..48375, 48376..48420, 48421..48465, 48466..48510, 48511..48555, 48556..48600, 48601..48645, 48646..48690, 48691..48735, 48736..48780, 48781..48825, 48826..48870, 48871..48915, 48916..48960, 48961..49005, 49006..49050, 49051..49095, 49096..49140, 49141..49185, 49186..49230, 49231..49275, 49276..49320, 49321..49365, 49366..49410, 49411..49455, 49456..49500, 49501..49545, 49546..49590, 49591..49635, 49636..49680, 49681..49725, 49726..49770, 49771..49815, 49816..49860, 49861..49905, 49906..49950, 49951..49995, 49996..50040, 50041..50085, 50086..50130, 50131..50175, 50176..50220, 50221..50265, 50266..50310, 50311..50355, 50356..50400, 50401..50445, 50446..50490, 50491..50535, 50536..50580, 50581..50625, 50626..50670, 50671..50715, 50716..50760, 50761..50805, 50806..50850, 50851..50895, 50896..50940, 50941..50985, 50986..51030, 51031..51075, 51076..51120, 51121..51165, 51166..51210, 51211..51255, 51256..51300, 51301..51345
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