Tutors Answer Your Questions about Probability-and-statistics (FREE)
Question 188239: This one has stumped me, can anyone help?
High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld sound meter. Noise level is defined as “Low” (under 88 decibels), “Medium” (88 to 91 decibels), or “High” (92 decibels or more). There are three flight phases (Climb, Cruise, Descent). Research question: At α = .05, is the cockpit noise level independent of flight phase? (Data are from Capt. Robert E. Hartl, retired.) Noise
Noise Level Climb Cruise Descent Row Total
Low
6
2
6
14
Medium
18
3
8
29
High
1
3
14
18
Col Total
25
8
28
61
Click here to see answer by stanbon(57967)  |
Question 188238: I just cant get this one.
The results shown below are mean productivity measurements (average number of assemblies completed per hour) for a random sample of workers at each of three plants. Research question: Are the mean hourly productivity levels the same for workers in these three plants? Productivity
Hourly Productivity of Assemblers in Plants
Plant Finished Units Produced Per Hour
A (9 workers)
3.6
5.1
2.8
4.6
4.7
4.1
3.4
2.9
4.5
B (6 workers)
2.7
3.1
5.0
1.9
2.2
3.2
C (10 workers)
6.8
2.5
5.4
6.7
4.6
3.9
5.4
4.9
7.1
8.4
Click here to see answer by stanbon(57967) |
Question 188225: CAN SOMEONE PLEASE HELP ME IN STATISTICS? THANK YOU SO MUCH!!!
Jane Doe is Vice President for Human Resources for a large manufacturing company. In recent years she has noticed an increase in absenteeism that she thinks is related to the general health of the employees. Four years ago, in an attempt to improve the situation, she began a fitness program in which employees exercise during their lunch hour. To evaluate the program, she selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the last six months. Below are the results. Analyze the results using the proper two-sample test. At the .01 significance level, can he conclude that the number of absences has declined significantly? Explain.
Employee
1
2
3
4
5
6
7
8
Before
6
7
6
7
6
5
4
5
After
4
2
4
4
3
7
2
4
Click here to see answer by stanbon(57967) |
Question 188173: A jar contains red marbles and green marbles. Ray randomly chooses one marle and places it in his pocket, then randomly chooses a second marble. Find the probability that the first marble is red and the second is green
Marbles
5/8 3/8
Red Green
4/7 3/7 5/7 2/7
Red Green red green\
it is a chart....
Click here to see answer by stanbon(57967) |
Question 188223: CAN SOMEONE PLEASE HELP ME IN STATISTICS? THANK YOU SO MUCH!!
Does cymbolta reduce the risk of a heart attack? In a kentucky study, researchers gave cymbolta to 2,450 people and an inactive substitute to 2,370 people (average age 58). After 5 years, 58 of the cymbolta group had suffered a heart attack, compared with 97 for the inactive pill. (a) State the appropriate null and alternative hypotheses. (b) Interpret the results at a = .01 (c) Is normality assured? (d) Is the difference large enough to be important?
Hypothesis test for two independent proportions
p1
0.0237
58/2450
58.
2450
p2
0.0409
97/2370
97
2370
pc
0.0322 p (as a decimal)
155/4820 p (as a fraction)
155. X
4820 n
-0.0173 difference
0. hypothesized difference
0.0051 std. error
-3.39 z
.0003 p-value (one-tailed, lower)
-0.0272 confidence interval 95.% lower
-0.0073 confidence interval 95.% upper
0.01 half-width
Click here to see answer by stanbon(57967) |
Question 188119: Textbook- Applied Statistics
ISBN-13: 978-0-07-296693-0
13.30A researcher used stepwise regression to create regression models to predict BirthRate (births per 1,000) using five predictors: LifeExp (life expectancy in years), InfMort (infant mortality rate), Density (population density per square kilometer), GDPCap (Gross Domestic Product per capita), and Literate (literacy percent). Interpret these results.
Regression AnalysisStepwise Selection (best model of each size)
153 observations
BirthRate is the dependent variable
p-values for the coefficients
Nvar LifeExp InfMort Density GDPCap Literate s Adj R2 R2
1 .0000 6.318 .722 .724
2 .0000 .0000 .334 .802 .805
3 .0000 .0242 .0000 .261 .807 .811
4 .5764 .0000 .0311 .0000 .273 .806 .812
5 .5937 .0000 .6289 .0440 .0000 .287 .805 .812
Click here to see answer by stanbon(57967) |
Question 188257: Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 86.
(a) Construct a 90 percent confidence interval for the proportion of all kernels that would not pop.
(b) Check the normality assumption.
(c) Try the Very Quick Rule. Does it work well here? Why, or why not?
(d) Why might this sample not be typical?
Click here to see answer by stanbon(57967) |
Question 188256: A sample of 20 pages was taken without replacement from the 1,591-page phone directory Ameritech Pages Plus Yellow Pages. On each page, the mean area devoted to display ads was measured (a display ad is a large block of multicolored illustrations, maps, and text). The data (in square millimeters) are shown below:
0 260 356 403 536 0 268 369 428 536
268 396 469 536 162 338 403 536 536 130
(a) Construct a 95 percent confidence interval for the true mean.
(b) Why might normality be an issue here?
(c) What sample size would be needed to obtain an error of 10 square millimeters with 99 percent confidence?
(d) If this is not a reasonable requirement, suggest one that is.
Click here to see answer by stanbon(57967) |
Question 188289: Salaries for business graduates in D.C. averaged $45,000 with a standard deviation of $49,000 and has a normal distribution. What is the probability that a business graduate will get a higher salary in D.C. than Virginia? The starting salary for a business graduate in Virginia has a normal distribution with a mean of $39,000 and a standard deviation of $2,500.
Click here to see answer by stanbon(57967) |
Question 188193: 1. If σ is unknown when completing a hypothesis test about the population mean, then the best estimate for the unknown standard deviation is s. _____ T/F
2. The chi-square distribution is used for inferences about the population mean when the standard deviation σ is unknown. ____ T/F
3. The t-distribution is used for all inferences about a populations variance. ___ T/F
4. When the means of two unrelated samples are used to compare two populations, we are dealing with two dependent means ___ T/F
5. Pretest versus post-test (before versus after) studies are usually independent samples. ____ T/F
6. The number of degrees of freedom for the critical value of t is equal to the smaller of n1 -1 or n2 -1 when making inferences about the difference between two independent means for the case when the degrees of freedom are estimated. ___ T/F
7. The F distribution is a symmetric distribution. ____ T/F
8. Which of the following would be the correct null hypotheses for testing the claim that the proportion of make students (M) who smoke at a particular college is greater than the proportion of female students (F) who smoke?
A. H0: pm ≥ pF
B. H0: pm ≤ pF
C. H0: pm > pF
D. H0: pm < pF
9. Which of the following would be the correct hypotheses for testing the claim that the mean waiting time to be served at a large post office is at least 6.5 minutes?
A. H0: ≥ 6.5 and Ha: < 6.5
B. H0: = 6.5 and Ha: ≠ 6.5
C. H0: ≤ 6.5 vs. Ha: > 6.5
D. H0: > 6.5 vs. Ha: ≥ 6.5
10. The mean age of 25 randomly selected college seniors was found to be 23.5 years, and the standard deviation of all college seniors was 1.3 years. Which of the following is the correct symbol for 1.3 years?
A. B. s C. σ D.
Click here to see answer by stanbon(57967) |
Question 188113: A researcher predicts that listening to music while solving math problems will make a particular brain area more active. To test this, a research participant has her brain scanned while listening to music and solving math problems, and the brain area of interest has a percent signal change of 58. From many previous studies with this same math-problems procedure (but not listening to music), it is known that the signal change in this brain area is normally distributed with a mean of 35 and a standard deviation of 10. Using the .01 level, what should the researcher conclude? Solve this problem explicitly using all five steps of hypothesis testing, and illustrate your answer with a sketch showing the comparison distribution, the cutoff (or cutoffs), and the score of the sample on this distribution. Then explain your answer to someone who has never had a course in statistics (but who is familiar with mean, standard deviation, and Z scores).
Click here to see answer by stanbon(57967) |
Question 188328: A board game is played with wooden pieces, where each piece shows a number on one side. There are 42 pieces altogether, and each piece shows a number from 1 to 42-each number from 1 to 42 is on exactly one piece- . To begin the game you randomly select 5 pieces.
What is the probability that all the pieces you select are white- answer must be accurate to 4 decimal places.
thanks
Click here to see answer by stanbon(57967) |
Question 188328: A board game is played with wooden pieces, where each piece shows a number on one side. There are 42 pieces altogether, and each piece shows a number from 1 to 42-each number from 1 to 42 is on exactly one piece- . To begin the game you randomly select 5 pieces.
What is the probability that all the pieces you select are white- answer must be accurate to 4 decimal places.
thanks
Click here to see answer by solver91311(17077)  |
Question 188327: Suppose you have a 10 by 10 checkerboard with alternating brown and white squares. If 5 pieces are randomly placed on the checkerboard.
What is the probability that they will all be in the column #1?
What is the probability that they will all be in the same column?
What is the probability that they will all be placed on white squares?
What is the probability that they will all be placed on squares of the same color?
Click here to see answer by stanbon(57967) |
Question 188171: 1.A circle with a radius of 1 in. is inscribed in a right triangle with legs of 3 in. and 4 in. If a point is randomly chosen within the triangle, what is the probability that thee point is NOT also in the circle?
2.A movie company surveyed 1000 people. 229 people said they went to see the new movie on Friday, 256 said they went on Saturday. If 24 people saw the movie both nights, what is the probability that a person chosen at random saw the movie on Friday or Saturday?
Thank you for your help.
Click here to see answer by stanbon(57967) |
Question 188341: A board game is played with wooden pieces, where each piece shows a number on one side. There are 42 pieces altogether, and each piece shows a number from 1 to 42. Each number from 1 to 42 is on exactly one piece.) To begin the game you randomly select 5 pieces.
How many possibilities are there for the numbers you begin with ie in how many different ways can you choose your 5 pieces-the answer is C(42,5) = 850668
The odd numbered pieces are painted blue and the even numbered pieces are painted white. In how many ways could you select your pieces so that they are all white-the answer is C(21,5) = 20349
this is the one I can not get
What is the probability that all the pieces you select are white (your answer must be accurate to 4 decimal places)?
Click here to see answer by solver91311(17077) |
Question 188356: Hi there I've been having problems with this question all day and I need some help please. I will greatly appreciate it.
In a sample bag of M&M's candy there are 5 brown, 6 yellow, 4 blue, 3 green, and 2 orange.
1. What is the probability of getting 1 green M&M if only 1 is taken at a time?
2. What is the probability of getting 3 yellow M&M's if 3 are taken at a time?
3. What is the probability of getting 1 brown and 2 orange M&M's if 3 are taken at a time?
I'm turning in my homework tomorrow but if someone could give me a second opinion I can see where I went wrong with this problem
Thank you so much for taling the time and helping me I really appreciate it
Click here to see answer by NomNomNom(1) |
Question 188429: if any one could help, I greatly appreciate,
1. In a one-way ANOVA, if the test is conducted and the null hypothesis is rejected, what does this indicate?
A. All the population means are equal
B. At least one of the population means are different
C. The normal distribution should be used instead of the F-distribution to determine the critical values of the test
D. None of the above is correct
2. In a one-way ANOVA, there are three treatments with n1 = 5, n2 = 6 and n3 = 5. The rejection region for this test at the 5% level of significance is
A. F > 3.74
B. F > 4.86
C. F > 4.97
D. F > 3.81
3. The following data show samples of three chain stores in three different locations in one town and the amount of dollars spent per customer per visit. At the 0.05 level, is there a difference in among the means?
Store A Store B Store C
30 42 30
14 28 14
22 20 20
18 35 16
26 49 15
25 28
36
24
4. Choose a variable and collect data for at least three different groups (samples). Compare the means of the three groups using the one-way ANOVA technique. Complete the following:
1. Write a brief statement of purpose of the study
2. Define the population
3. State how the sample was selected
4. What a value did you use?
5. State the hypotheses
6. What was F test value?
7. State the decision
8. Summarize the results.
You may obtain raw data
Click here to see answer by stanbon(57967) |
Question 188423: The following statistics provide information about the scores on a national mathematics exam.
Mean 312 First Quartile 201
Median 296 Third Quartile 423
Mode 326 49th Percentile 307
a) What score did half of the test takers surpass?
b) What was the most common score?
c) What percentage of the test takers scored 201 or better?
d) If Joe had a score of 307, explain the meaning of his score.
Click here to see answer by stanbon(57967) |
Question 188455: Sam and Allen applied for scholarships. The probability that Sam gets a scholarship is 0.91 and the probability that Allen gets a scholarship is 0.76. The probability they both do is 0.73.
What is the probability that Sam gets a scholarship but Allen doesn't?
What is the probability neither receives a scholarship?
If Sam receives one, what then is the conditional probability that Allen will also?
If Allen receives a scholarship, what then is the conditional probability that Same will not receive one?
Click here to see answer by Mathtut(3670) |
Question 188421: In a study of 100 married women with children, the subjects were asked the major reason for working outside the home. The study resulted in the following data:
Reason Number of Responses
To support self/family 62
For extra money 18
For something different to do 12
Other 8
----------------------------------------------------------------
Total 100
Construct a pie chart for the data and analyze the results.
Click here to see answer by stanbon(57967) |
Question 188411: Art, Becky, Carl, Denise are lined up to buy tickets.
A. How many different permutations are possible?
B. Suppose Ed was also in line. How many permutations would there be?
C. In how many of the permutations of the five is Becky first?
D. What is the probability that a permutation of this five is chosen at random will have Becky first?
Click here to see answer by stanbon(57967) |
Question 188357: CAN SOMEONE PLEASE HELP ME IN STATISTICS? THANK YOU SO MUCH!!!
There are three hospitals in a municipal area. The following data show the number of outpatient surgeries performed at each hospital last week. At the .05 significance level, can we conclude there is a difference in the mean number of surgeries performed by hospital or by day of the week? Why or why not?
Number of Surgeries Performed
St. Luke's
Monday 14
Tuesday 20
Wednesday 16
Thursday 18
Friday 20
St. vincents
18
24
22
20
28
Mercy
24
18
20
22
24
Randomized blocks ANOVA
Mean n Std. Dev
20.53333333 17.600 5 2.608 Treatment 1
20.53333333 22.400 5 3.847 Treatment 2
20.53333333 21.600 5 2.608 Treatment 3
18.667 3 5.033 Block 1
20.667 3 3.055 Block 2
19.333 3 3.055 Block 3
20.000 3 2.000 Block 4
24.000 3 4.000 Block 5
20.533 15 3.583 Total
ANOVA table
Source SS df MS F p-value
Treatments 66.13 2 33.067 4.28 .0546
Blocks 51.73 4 12.933 1.67 .2482
Error 61.87 8 7.733
Total 179.73 14
Click here to see answer by stanbon(57967) |
Question 188613: Use the following pairs of bivariate data to find the equation of the regression line. Assume a linear correlation exists.
x 3 4 5 5 6 7
y 9 8 5 4 4 4
The equation of the regression line is:
Choose between the following
A. y = 12.67 1.40x
B. y = 1.40 + 12.67x
C. y = 1.40 12.67 x
D. y 12.67 + 1.40x
Click here to see answer by solver91311(17077) |
Question 188607: Money made for a sample of movies in America and foreign markets is below. The amounts are in millions of dollars.
Domestic 214 80 181 134 124 150 108 304
Foreign 253 78 177 180 198 78 120 350
Find r, the linear correlation coefficient
Choose between
A. .63
B. .94
C. .88
D. .74
Click here to see answer by stanbon(57967) |
Question 188631: 24) Seven employees at a large company were asked the number of addtional years they planned to work before retirement. their response was 10,23,28,4,1,6,12
A) detrimine the standard deviation.
26) the amount of money that 7 people spent on perscription medication in a year are as follows: $600,$100,$850,$350,$250,$140,$300.
A)detrmine the range
B)determine the standard deviation
Click here to see answer by Edwin McCravy(8999)  |
Question 188714: Attached is a probability question with two parts. I feel I have question A figured out. However question B I cannot figure out and cannot figure out a solution. Could someone please help me with these two questions and include a formula with steps. Thanks in advance. The question is:
A drug used to reduce high blood pressure produces side effects in 4% of the patients. Three patients who have taken the drug are selected at random. What is the probability that:
A. they all had side effects.
B. none of them had side effects
The answer I came up with for A is: .000064
Any help is greatly appreciated. Thanks again.
Click here to see answer by stanbon(57967) |
Question 188609: Four different brands of cola are tested in a taste test(everybody is supposed to be blindfolded). The following table shows how many people were able to identify 4 popular brands of cola. At a .05 level of significance, test the claim that the results are equally distributed.
Brand Observed
Coca Cola 66
Pepsi Cola 86
Diet Cola 18
Diet Pepsi 30
Find the critical value. Choose between
A. 14.860
9. 488
C. 7.815
D. 12.838
And Find the test Statistic
A. 0.88
B. 8.49
C. 11.20
D. 59.52
Click here to see answer by stanbon(57967) |
Question 188610: I am just really having a problem with this...
A store manager believes that 25% of their customers come in on Monday, 15% on
Tuesday, 15% on Wednesday, 15% on Thursday, and 30% on Friday. Test at the .01
level if the manager is correct if one week the following number of customers
came in to the store.
Monday: 32 Customers
Tuesday: 15 customers
Wednesday: 17 customers
Thursday: 16 customrs
Friday" 40 customers
Find the critical value. Choose between
A. 13.277
B. 9.236
C. 7.779
D. 15.868
Find the test statistic. Choose between
A. 1.36
B. 0.13
C. 1.63
D. 0.13
Click here to see answer by stanbon(57967) |
Question 188739: A research organization tested microwave ovens. At alpha=.10, is there asignificant difference in the average price of the three types of ovens? The data and an ANOVA table are shown below. Based on the ANOVA table is the null hypothesis of equal price rejected or not rejected? On what did you base your decision? Be sure to justify your answer.
Microwave oven watts 1000 900 800
Price in dollars $270.00 $240.00 $180.00
$245.00 $135.00 $155.00
$190.00 $160.00 $200.00
$215.00 $230.00 $120.00
$250.00 $250.00 $140.00
$230.00 $200.00 $180.00
$200.00 $140.00
$210.00 $130.00
Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
1000 6 1400 233.3333 796.6667
900 8 1625 203.125 1549.554
800 8 1245 155.625 795.9821
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 21729.73 2 10864.87 10.11821 0.001019 3.52189
Within Groups 20402.08 19 1073.794
Total 42131.82 21
Click here to see answer by stanbon(57967) |
Question 188755: Nonstandard dice can produce interesting distributions of outcomes. You have two balanced, six-sided dice. One is a standard dice, with faces having 1,2,3,4,5 and 6 spots. The other die has three faces with 0 spots and three faces with 6 spots. Find the probability distribution for the total number of spots Y on the up-faces when you roll these two dice.
Click here to see answer by stanbon(57967) |
Question 188355: CAN SOMEONE PLEASE HELP ME IN STATISTICS? THANK YOU SO MUCH!!!!
In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research questions: (a) Are the mean crash damages the same or significantly different among these three vehicles? (b) Are there any significant differences between pairs of groups? What test did you use? Explain.
Crash Damage in Dollars
Goliath
1100
750
970
1000
850
Varmint
1290
1400
1390
1850
1100
Weasel
1100
1500
1000
1250
1920
Click here to see answer by stanbon(57967) |
Question 188762: One group of accounting students took a distance learning class, while another group took the same course in a traditional classroom. At α = .10, is there a significant difference in the mean scores listed below? (a) State the hypotheses. (b) State the decision rule and sketch it. (c) Find the test statistic. (d) Make a decision. (e) Use Excel to find the p-value and interpret it.
Click here to see answer by stanbon(57967) |
Question 188853: I'm dying a slow death in statistics. Please help!
In 2004, a small dealership leased 21 Chevrolet Impalas on 2-year leases. When the cars were returned in 2006, the mileage was recorded (see below). Is the dealer's mean significantly greater than the national average of 30,000 miles for 2-year leased vehicles, using the 10 percent level of significance?
Mileage:
40,060 24,960 14,310 17,370 44,740 44,550 20,250
33,380 24,270 41,740 58,630 35,830 25,750 28,910
25,090 43,380 23,940 43,510 53,680 31,810 36,780
Click here to see answer by stanbon(57967) |
Question 188808: I am having some trouble with this one question on my homework,would some one please help me,
The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years.
Gestation, x 8 2.1 1.3 1 11.5 5.3 3.8 24.3
Life span, y 30 12 6 3 25 12 10 40
a. Find the equation of the regression line for the given data. Round the line values to the nearest two decimal places.
b. Using the equation found in part a, predict the life span when the gestation is 10 months. Round to the nearest absence.
I would like to thank you in advance for helping me by using your own time . Thank you very much.
Click here to see answer by stanbon(57967) |
Question 188882: Suppose the Real Estate Board of Greater Vancouver conducts a study of the number of first-time applicants who are successful in passing the certification examination for real estate salespeople on their first attempt. Two samples were taken from the list of applicants: those who were already employed by a real estate agency and those who were recent university graduates who had not taken a full-time job. Results are shown in the table below:
Real Estate Employees Unemployed Graduates
Sample Size 100 200
Number passing 47 102
a.What is the sample proportion of real estate employees who passed the exam on their first attempt?
b.What is the sample proportion of unemployed college graduates who passed the exam on their first attempt?
c.If the null hypothesis is H0: R U = 0, what is the value of the test statistic? R = proportion of real estate employees passing the exam on their first attempt, U = proportion of unemployed graduates passing the exam on their first attempt.
d. State your conclusion on the result of the test for H0: R U = 0 if the alternate hypothesis is: H0: R U < 0. Use = 0.05.
Click here to see answer by stanbon(57967) |
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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
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