Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 1207900: The object of a general chemistry experiment is to determine the amount (in millilitres [mL]) of sodium hydroxide (NaOH) solution needed to neutralize 1 g of a specified acid. This will be an exact amount, but when the experiment is run in the laboratory, variation will occur as the result of experimental error. Three titrations are made using phenolphthalein as an indicator of the neutrality of the solution (pH equals 7 for a neutral solution). The three volumes of NaOH required to attain a pH of 7 in each of the three titrations are as follows: 82.04, 75.70, and 75.42 mL. Use a 99% confidence interval to estimate the mean number of milliliters required to neutralize 1 g of the acid. (Round your answers to three decimal places.)
______________to ________________ mL
Click here to see answer by ikleyn(52750)  |
Question 1207904: 1. To test the effect of alcohol in increasing the reaction time to respond to a given stimulus, the reaction times of seven people were measured. After consuming 89 mL of 40% alcohol, the reaction time for each of the seven people was measured again. Do the following data indicate that the mean reaction time after consuming alcohol was greater than the mean reaction time before consuming alcohol? Use ๐ผ = 0.05. (Use ๐before โ ๐after = ๐d. Round your answers to three decimal places.)
DATA:-
Person____1____2____3____4____5____6____7 (Ignore the lines - represents space)
Before____5____6____5____5____3____6____1 (Ignore the lines - represents space)
After_____7____8____3____6____3____4____6 (Ignore the lines - represents space)
Test statistic: t =
Rejection region: If the test is one-tailed, enter NONE for the unused region.
t > _______
t < _______
Click here to see answer by ikleyn(52750)  |
Question 1207936: Sixty five percent of 12th graders attend school in a particular urban district. If a sample of 450 12th grade children is selected. Find the probability that more than 280 are actually enrolled in the school.
Click here to see answer by ikleyn(52750)  |
Question 1207718: You wish to test the following claim (
H
a
) at a significance level of
ฮฑ
=
0.02
.
H
o
:
p
1
=
p
2
H
a
:
p
1
<
p
2
You obtain 32.2% successes in a sample of size
n
1
=
562
from the first population. You obtain 41.8% successes in a sample of size
n
2
=
759
from the second population. For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =
The p-value is...
less than (or equal to)
ฮฑ
greater than
ฮฑ
Click here to see answer by ikleyn(52750)  |
Question 1208020: The average life of a certain battery is 5 years, with a standard deviation off year. Assume that the life of the battery approximately follows a normal distribution. Find the probability that the average life of a random sample of size 16 of such batteries will be w
a. between 4.5 and 5.4 years
b. less than 5.5 years
c. more than 4.75 years
Click here to see answer by math_tutor2020(3816) |
Question 1208012: Suppose that a word-association experiment is conducted using eight people as blocks and making a comparison of reaction times within each person; that is, each person is subjected to both stimuli in a random order. The reaction times (in seconds) for the experiment are as follows.
Person__________Stimulus 1__________Stimulus 2 (IGNORE THE LINES - space)
1__________________2__________________5 (IGNORE THE LINES - space)
2__________________1__________________3 (IGNORE THE LINES - space)
3__________________1__________________4 (IGNORE THE LINES - space)
4__________________2__________________2 (IGNORE THE LINES - space)
5__________________1__________________3 (IGNORE THE LINES - space)
6__________________2__________________3 (IGNORE THE LINES - space)
7__________________3__________________4 (IGNORE THE LINES - space)
8__________________2__________________3 (IGNORE THE LINES - space)
Do the data present sufficient evidence to indicate a difference in mean reaction times for the two stimuli? Test using ๐ผ = 0.05. (Use ๐1 โ ๐2 = ๐d.)
a) State the test statistic. (Round your answer to three decimal places.)
t = __________
b) State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
t > __________
t < ___________
Click here to see answer by math_tutor2020(3816) |
Question 1207862: For a sample of size 20 taken from a normally distributed population with standard deviation equal to 5, a 90% confidence interval for the population mean would require the use of:
a. z = 2.58
b. t = 1.328
c. z = 1.96
d. z = 1.645
e. t = 1.729
Click here to see answer by amarjeeth123(569) |
Question 1208037: You deposit $400 each month into an account earning 8% interest compounded monthly.
a) How much will you have in the account in 15 years?
b) How much total money will you put into the account?
c) How much total interest will you earn?
Click here to see answer by math_tutor2020(3816) |
Question 1208037: You deposit $400 each month into an account earning 8% interest compounded monthly.
a) How much will you have in the account in 15 years?
b) How much total money will you put into the account?
c) How much total interest will you earn?
Click here to see answer by ikleyn(52750)  |
Question 1207927: 1. Suppose that a word-association experiment is conducted using eight people as blocks and making a comparison of reaction times within each person; that is, each person is subjected to both stimuli in a random order. The reaction times (in seconds) for the experiment are as follows.
DATA:-
Person______Stimulus 1_________Stimulus 2 (IGNORE THE LINES - represents space)
1_____________2__________________5 (IGNORE THE LINES - represents space)
2_____________1__________________3 (IGNORE THE LINES - represents space)
3_____________1__________________4 (IGNORE THE LINES - represents space)
4_____________2__________________2 (IGNORE THE LINES - represents space)
5_____________1__________________3 (IGNORE THE LINES - represents space)
6_____________2__________________3 (IGNORE THE LINES - represents space)
7_____________3__________________4 (IGNORE THE LINES - represents space)
8_____________2__________________3 (IGNORE THE LINES - represents space)
Do the data present sufficient evidence to indicate a difference in mean reaction times for the two stimuli? Test using ๐ผ = 0.05. (Use ๐1 โ ๐2 = ๐d.)
a. State the test statistic. (Round your answer to three decimal places.)
t = _________
State the rejection region. (If the test is one-tailed, enter NONE for the unused region. Round your answers to three decimal places.)
t > __________
t < __________
Click here to see answer by ikleyn(52750)  |
Question 1208056: The object of a general chemistry experiment is to determine the amount (in millilitres [mL]) of sodium hydroxide (NaOH) solution needed to neutralize 1 g of a specified acid. This will be an exact amount, but when the experiment is run in the laboratory, variation will occur as the result of experimental error. Three titrations are made using phenolphthalein as an indicator of the neutrality of the solution (pH equals 7 for a neutral solution). The three volumes of NaOH required to attain a pH of 7 in each of the three titrations are as follows: 82.06, 75.67, and 75.50 mL. Use a 99% confidence interval to estimate the mean number of millilitres required to neutralize 1 g of the acid. (Round your answers to three decimal places.)
Click here to see answer by ikleyn(52750)  |
Question 1208010: A random sample of n = 36 observations has a mean x = 28.7 and a standard deviation s = 3.8.
(a) Find a 90% lower confidence bound for the population mean ๐. (Round your answer to two decimal places.)
(b) How many observations do you need to estimate ๐ to within 0.6, with probability equal to 0.95? (Round your answer up to the nearest whole number.)
observations
Click here to see answer by math_tutor2020(3816) |
Question 1207897: A random sample of n = 36 observations has a mean x = 28.7 and a standard deviation s = 3.8. (You may need to use the appropriate appendix table or technology to answer this question)
(a) Find a 90% lower confidence bound for the population mean ๐. (Round your answer to two decimal places.)
(b) How many observations do you need to estimate ๐ to within 0.6, with probability equal to 0.95? (Round your answer up to the nearest whole number.)
___________________ observations
Click here to see answer by ikleyn(52750)  |
Question 1207896: A random sample of n = 36 observations has a mean x = 28.7 and a standard deviation s = 3.8. (You may need to use the appropriate appendix table or technology to answer this question)
(a) Find a 90% lower confidence bound for the population mean ๐. (Round your answer to two decimal places.)
(b) How many observations do you need to estimate ๐ to within 0.6, with probability equal to 0.95? (Round your answer up to the nearest whole number.)
___________________ observations
Click here to see answer by ikleyn(52750)  |
Question 1208070: In a one-way ANOVA test, the test statistic is
F = 4.25.
The rejection region is
F > 3.06
for the 5% level of significance,
F > 3.8
for the 2.5% level of significance, and
F > 4.89
for the 1% level of significance. For this test, which of the following is a valid statement about the approximate p-value?
It is greater than 0.05.
It is between 0.025 and 0.05.
It is approximately 0.05.
It is between 0.01 and 0.025.
Click here to see answer by math_tutor2020(3816) |
Question 1208073: Please help me solve this question: List the elements of each of the following sample spaces: (a) the set of integers between 1 and 50 divisible by 8; (b) the set S = {x | x2 + 4x โ 5=0}; (c) the set of outcomes when a coin is tossed until a tail or three heads appear; (d) the set S = {x | x is a continent}; (e) the set S = {x | 2x โ 4 โฅ 0 and x < 1}.
Get new answer
Click here to see answer by ikleyn(52750)  |
Question 1208080: Marks of 75 students are summarized in the following frequency distribution,
Marks Number of students
40-44 7
45-49 10
50-54 20
55-59 f4
60-64 f5
65-69 6
70-74 3
If 20% of the students have marks between 55 and 59
i. Find the missing frequencies f4 and 15.
ii. Find the mean.
Click here to see answer by math_tutor2020(3816) |
Question 1208104: Assume that the reading on thermometer are normally distributed with a mean of 0 degree and standard deviation of 1 degree . A thermometer is randomly selected and tested. find the probability of each reading in degree, draw a sketch
a. Between 0 and 3
b. Between 0 and -2.33
c. Between 1.34 and 2.67
d. Less than 0.08
e. Between -1.99 and 2.01
f. Greater than 0.25
g. Less than -1.47
h. Find P90, the 90th percentile. This is the temperature reading separating the bottom 90% from the top 10%
i. Find Q1, the temperature reading that is the first quartiles
j. If 2.5% of the thermometers are rejected because they have reading that are too high and another 2.5% are rejected because they have readings that are too low. Find the two readings that are cutoff values separating the rejected thermometers from the others
Could you provide these solving and explain.
Click here to see answer by ikleyn(52750)  |
Question 1207887: 1. For a sample of size 20 taken from a normally distributed population with standard deviation equal to 5, a 90% confidence interval for the population mean would require the use of:
a. z = 2.58
b. t = 1.328
c. z = 1.96
d. z = 1.645
e. t = 1.729
Click here to see answer by Boreal(15235)  |
Question 1208071: A major department store chain is interested in estimating the average amount its credit card customers spent on their first visit to the chain's new store in the mall. Fifteen credit card accounts were randomly sampled and analyzed with the following results: x = $50.50 and s2 = 400. Assuming the distribution of the amount spent on their first visit is approximately normal, what is the shape of the sampling distribution of the sample mean that will be used to create the desired confidence interval for ๐?
a. approximately normal with a mean of $50.50
b. approximately normal with a mean of $80.20
c. a t distribution with 14 degrees of freedom
d. a standard normal distribution
e. a t distribution with 15 degrees of freedom
Click here to see answer by Boreal(15235)  |
Question 1207861: To estimate with 95% confidence the average number of kilometres that students living off-campus commute to classes every day, a random sample of 20 students was taken and produced a mean equal to 5.2 km and a standard deviation of 3.05 km. Under these circumstances, what is the appropriate critical value?
a) 2.093
b) 1.960
c) 2.086
d) 1.729
Click here to see answer by Boreal(15235)  |
Question 1207861: To estimate with 95% confidence the average number of kilometres that students living off-campus commute to classes every day, a random sample of 20 students was taken and produced a mean equal to 5.2 km and a standard deviation of 3.05 km. Under these circumstances, what is the appropriate critical value?
a) 2.093
b) 1.960
c) 2.086
d) 1.729
Click here to see answer by math_tutor2020(3816) |
Question 1208184: The probability that a first-time tourist to the city of
Toledo will visit the Art Museum is 0.5, will visit the Toledo
Zoo is 0.4, and will visit both is 0.25. If a first-time tourist
to Toledo is randomly selected, find the probability that the
tourist will visit:
(a) the Art Museum or the Toledo Zoo
(b) neither of these attractions, and
(c) one, but not both, of these attractions.
Click here to see answer by math_tutor2020(3816) |
Question 1208185: One individual is randomly selected from 500:
Wrinkles Wrinkles
Prominent Not Prominent
Heavy Smoker 120 60
Light Smoker 75 245
(a) Given that the individual is a heavy smoker, what is the
probability that he/she does not have prominent wrinkles?
(b) What is the probability that the selected individual is a
heavy smoker or has prominent wrinkles?
Click here to see answer by ikleyn(52750)  |
Question 1208186: Tickets for a raffle cost $18. There were 757 tickets sold. One ticket will be randomly selected as the winner, and that person wins $1900 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places.
Expected Value = $
Click here to see answer by mccravyedwin(405)  |
Question 1208186: Tickets for a raffle cost $18. There were 757 tickets sold. One ticket will be randomly selected as the winner, and that person wins $1900 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places.
Expected Value = $
Click here to see answer by ikleyn(52750)  |
Question 1208186: Tickets for a raffle cost $18. There were 757 tickets sold. One ticket will be randomly selected as the winner, and that person wins $1900 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two decimal places.
Expected Value = $
Click here to see answer by greenestamps(13195)  |
Question 1207875: 1. To estimate with 95% confidence the average number of kilometres that students living off-campus commute to classes every day, a random sample of 20 students was taken and produced a mean equal to 5.2 km and a standard deviation of 3.05 km. Under these circumstances, what is the appropriate critical value?
a. 2.093
b. 1.960
c. 2.086
d. 1.729
Click here to see answer by Boreal(15235)  |
Question 1208210: Use the data in the table below, which shows the employment status of individuals in a particular town by age group.
Age Full-time Part-time Unemployed
0โ17 27 179 384
18โ25 216 192 307
26โ34 240 69 27
35โ49 556 185 197
50+ 278 165 349
If a person is randomly chosen from the town's population, what is the probability that the person is under 18
or employed part-time?
Click here to see answer by ikleyn(52750)  |
Question 1208211: Good afternoon,
Please help me?
If there are 12 horses in a race what are the odds of selecting the exact finishing order of all 12 horses?
Could you please give me a formula to calculate any other odds also? As in, 10 horses, 7 horses or other numbers of horses.
Thank you in anticipation.
Regards
Faye
Click here to see answer by math_tutor2020(3816) |
Question 1208211: Good afternoon,
Please help me?
If there are 12 horses in a race what are the odds of selecting the exact finishing order of all 12 horses?
Could you please give me a formula to calculate any other odds also? As in, 10 horses, 7 horses or other numbers of horses.
Thank you in anticipation.
Regards
Faye
Click here to see answer by ikleyn(52750)  |
Question 1208252: The average price of an ostrich-skin underpants is $ 12,837. The prices are normally distributed with a standard deviation of $ 1500. If an ostrich-skin garment is picked randomly, then the probability that its price is more the $ 15,000 is
Click here to see answer by ikleyn(52750)  |
Question 1208267: Good day. please help me solve this problem.
The table below lists the distribution of employees in various departments at the "Tech Future" company.
Department Male Female
Software Design 700 900
Hardware Design 300 550
Marketing 800 500
Human Resources 40 60
If an employee is selected at random, what is the probability that the employee is:
i. A Software Design employee? [2 Marks]
ii. A male employee and working in Hardware Design? [3 Marks]
iii. Working in Marketing, given that the employee is female? [3 Marks]
iv. A male employee? [2 Marks]
v. Working in Marketing or Human Resources? [3 Marks]
vi. A male or female employee? [3 Marks]
Click here to see answer by Edwin McCravy(20054)  |
Question 1208267: Good day. please help me solve this problem.
The table below lists the distribution of employees in various departments at the "Tech Future" company.
Department Male Female
Software Design 700 900
Hardware Design 300 550
Marketing 800 500
Human Resources 40 60
If an employee is selected at random, what is the probability that the employee is:
i. A Software Design employee? [2 Marks]
ii. A male employee and working in Hardware Design? [3 Marks]
iii. Working in Marketing, given that the employee is female? [3 Marks]
iv. A male employee? [2 Marks]
v. Working in Marketing or Human Resources? [3 Marks]
vi. A male or female employee? [3 Marks]
Click here to see answer by ikleyn(52750)  |
Question 1208266: Good day. please help me solve this problems.
Consider a bag containing 5 blue marbles and 3 green marbles.
I. Construct a tree diagram to represent all possible outcomes of drawing two marbles when the marble is replaced after each draw. [4 marks]
II. What is the probability of drawing two blue marbles in a row? [2 marks]
III. What is the probability of selecting a colour of each? [2 marks]
IV. Construct a tree diagram to represent all possible outcomes of drawing two marbles without replacement. [4 marks]
Click here to see answer by math_tutor2020(3816) |
Question 1208269: Good afternoon, please help me solve this questions
Consider a bag containing 5 blue marbles and 3 green marbles.
I. Construct a tree diagram to represent all possible outcomes of drawing two marbles when the marble is replaced after each draw. [4 marks]
II. What is the probability of drawing two blue marbles in a row? [2 marks]
III. What is the probability of selecting a colour of each? [2 marks]
IV. Construct a tree diagram to represent all possible outcomes of drawing two marbles without replacement. [4 marks]
V. What is the probability of drawing a green marble followed by a blue marble? [2 marks]
Click here to see answer by Edwin McCravy(20054)  |
Question 1208270: A clinical trial was conducted to test efficiency Ness of drug for treating insomnia, and or just subject before treatment 21 subjects had a mean wait time of 100.0 minutes after treatment the 21 subject I didnโt mean wait time of 71.2 minutes and standard deviation of 22.5 minutes assume that the 21 sample values appear to be from a normal distribution population and construct a 99% confidence interval estimate of the main wait time for a population with a drug treatment what does the results suggest about the mean? Wait time of 100.0 minutes before the treatment does a drug appear to be effective
Click here to see answer by ikleyn(52750)  |
Question 1208306: 4 non standard 6 sided dice 1) 3,3,3,3,3,3 2) 4,4,4,4,0,0 3) 5,5,5,1,1,1 4) 6,6,2,2,2,2. 3s vs 4s, 4s vs 5s, 5s vs 6s, 6s vs 3s.for the four pairs of dice listed above, analyze each case using the knowledge of Probability. Make a theoretical analysis about which one of the four dice has the highest probability of winning (just determine which one of the pair is more likely to win, i.e., p>0.5).
Click here to see answer by mccravyedwin(405)  |
Question 1208306: 4 non standard 6 sided dice 1) 3,3,3,3,3,3 2) 4,4,4,4,0,0 3) 5,5,5,1,1,1 4) 6,6,2,2,2,2. 3s vs 4s, 4s vs 5s, 5s vs 6s, 6s vs 3s.for the four pairs of dice listed above, analyze each case using the knowledge of Probability. Make a theoretical analysis about which one of the four dice has the highest probability of winning (just determine which one of the pair is more likely to win, i.e., p>0.5).
Click here to see answer by ikleyn(52750)  |
Question 1208340: You want to put a 2 inch thick layer of topsoil for a new 13 ft by 14 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
Click here to see answer by ikleyn(52750)  |
Question 1208341: The following is a list of 29 hospitals in the Cincinnati, Ohio, and Northern Kentucky
region. Each hospital is assigned a number, 00 through 28. The hospitals are clas
sified by type, either a general medical/surgical hospital (M/S) or a specialty hospital
(S). We are interested in estimating the average number of full- and part-time nurses
employed in the area hospitals.
A sample of five hospitals is to be randomly selected. The random numbers are
09, 16, 00, 49, 54, 12, and 04. Which hospitals are included in the sample?
b. Use a table of random numbers to develop your own sample of five hospitals.
c. Using systematic random sampling, every fifth location is selected starting with
the second hospital in the list. Which hospitals will be included in the sample?
d. Using stratified random sampling, select five hospitals. Four should be medical
and surgical hospitals and one should be a specialty hospital. Select an appro
priate sample. book name :Statistical Techniques in Business & Economics
Seventeenth Edition Exercise 2 page 257
Click here to see answer by ikleyn(52750)  |
Question 1208371: Eight blueโ socks, four whiteโ socks, and six gray socks are mixed in a drawer. You pull out twoโ socks, one at aโ time, without looking. Complete partsโ (a) throughโ (d). What is the probability of the event of getting 2 socks of the sameโ color?
Click here to see answer by math_tutor2020(3816) |
|
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, 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