Questions on Algebra: Probability and statistics answered by real tutors!

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Question 961781: With a binomial distribution with n = 25 and p= 0.48, which is larger?
P(12 successes
P(9 successes
P(20 successes
P( 10 sucesses

Click here to see answer by Edwin McCravy(20054) About Me 

Question 961961: Gayla has a bag of 19 marbles of the same size. Nine of these marbles are red, six blue, and four white.
She randomly selects three of the marbles, without replacement, from the bag. What is the probability
Gayla has withdrawn more red than white marbles?

Click here to see answer by bre-bre23(2) About Me 

Question 962101: Question 1




You conduct a one-sample t test and find that t = -1.83. Your study has 81 participants. Your research hypothesis is directional. sketch a normal curve and draw vertical lines for and label from -3σM to +3σM, locate and label the tabled critical t, and locate and label the computed t. Can you reject the null hypothesis at α = .01?


Yes


No


-no response


-no response



.
4 points

Question 2




You conduct a one-sample t test and find that t = -1.83. Your study has 81 participants. Your research hypothesis is directional. sketch a normal curve and draw vertical lines for and label from -3σM to +3σM, locate and label the tabled critical t, and locate and label the computed t. Can you reject the null hypothesis at α = .05?


Yes


No


Maybe


More information is needed



.
4 points

Question 3




A researcher conducts a one-tailed one-sample t test on 25 subjects and finds that t = 1.89. How many degrees of freedom are in this study?


26


25


24


23



.
4 points

Question 4




A researcher conducts a one-tailed one-sample t test on 25 subjects and finds that t = 1.89. About what is the actual Type 1 error for the study?


Around 3%


Around 4%


Around 5%


Around 6%



.
4 points

Question 5




A researcher conducts a one-tailed one-sample t test on 25 subjects and finds that t = 1.89. How confident can the researcher be that the results are true and not due to mere sampling error?


Around 98%


Around 97%


Around 96%


Around 95%



.
4 points

Question 6




A researcher conducts a one-tailed one-sample t test on 25 subjects and finds that t = 1.89. Report the results as they would appear in an academic journal entry.


t(25) = 1.89, p = 6.6


t(25) = 1.89, p = 4.8


t(25) = 1.89, p = 5.5


t(25) = 1.89, p = 3.9



.
4 points

Question 7




A researcher conducts a two-tailed one-sample t test on 24 subjects and find that t = 1.89. How many degrees of freedom are in this study?


22


23


24


25



.
4 points

Question 8




A researcher conducts a two-tailed one-sample t test on 24 subjects and find that t = 1.89. About what is the actual Type 1 error for the study?


8%


15%


26%


.01%



.
4 points

Question 9




A researcher conducts a two-tailed one-sample t test on 24 subjects and find that t = 1.89. How confident can the researcher be that the results are true and not due to mere sampling error?


.05%


85%


92%


100%



.
4 points

Question 10




A researcher conducts a two-tailed one-sample t test on 24 subjects and find that t = 1.89. Report the results as they would appear in an academic journal.


t(23) =1.89, p=.08


t(23) =1.89, p=.99


t(23) =1.89, p=.25


t(23) =1.89, p=.11



.
4 points

Question 11




Calculate σM1 - M2 for a study of self-esteem between the sexes, in which the value of σM for women is 1.32 and that for men is 1.94.


1.02


3.76


2.35


7.63



.
4 points

Question 12




In a study of the effect of a new drug on the alleviation of asthma symptoms, the σM for symptom relief in the patient group that received the new drug is 1.45, and the σM for symptom relief in the group that did not receive the new drug is 1.22. Calculate σ M1-M2


1.89


1.77


1.93


1.79



.
4 points

Question 13





Elena Martin is campaigning for the city council. . She has two types of lawn signs to distribute: large ones and small ones. She wonders if the size of the sign affects residents’ willingness to display the signs on their property. Early in the campaign, her staff obtain a list of homeowners in each of the city’s 10 voting districts who are registered in her political party and presumably not averse to advertising their support for her. The staff randomly selects homeowners in each of the 10 districts, to some of whom they send large signs and to others, small signs. Two weeks later, staff members drive by each home to which they sent the signs to record whether or not the sign is being displayed. Here are the percentages of homes displaying the signs in each district:
_______________________________


Large Sign

Small Sign

34

41

41

44

30

36

32

38

28

29

31

47

40

49

27

39

36

43

22

37

____________________________
Is the research hypothesis in this study directional or nondirectional?


directional


nondirectional


Not enough information


Both



.
4 points

Question 14





Elena Martin is campaigning for the city council. . She has two types of lawn signs to distribute: large ones and small ones. She wonders if the size of the sign affects residents’ willingness to display the signs on their property. Early in the campaign, her staff obtain a list of homeowners in each of the city’s 10 voting districts who are registered in her political party and presumably not averse to advertising their support for her. The staff randomly selects homeowners in each of the 10 districts, to some of whom they send large signs and to others, small signs. Two weeks later, staff members drive by each home to which they sent the signs to record whether or not the sign is being displayed. Here are the percentages of homes displaying the signs in each district:
__________________________________

Large Signs

Small Signs

6

7

7

10

5

8

7

5

8

9

6

10

10

7

9

6

6

5

7

6

5

8

7

6

__________________________________

State the research hypothesis.


Not enough information


Voting district will differ by the preference of sign size


The effectiveness of the city counsel will effect the community's preference of sign size


Homeowner’s willingness to display the campaign signs will differ by the size of the sign



.
4 points

Question 15





Elena Martin is campaigning for the city council. She has two types of lawn signs to distribute: large ones and small ones. She wonders if the size of the sign affects residents’ willingness to display the signs on their property. Early in the campaign, her staff obtain a list of homeowners in each of the city’ s 10 voting districts who are registered in her political party and presumably not averse to advertising their support for her. The staff randomly selects homeowners in each of the 10 districts, to some of whom they send large signs and to others, small signs. Two weeks later, staff members drive by each home to which they sent the signs to record whether or not the sign is being displayed.
Refer to question 4 on page 242 for the table.
Calculate t and compare it with the tabled critical t at the .01 α level. Can you reject the null hypothesis?


Yes


No


Not enough information


Both



.
4 points

Question 16





An Internet provider wonders if its cable Internet customers are significantly more satisfied with one or the other of its two packages -- free e-mail or free basic TV. The company surveys 12 customers currently receiving free e-mail with their cable Internet and 12 customers currently receiving free basic TV with their cable Internet. Satisfaction scores range from 1 to 10 based on answers to the survey questions. Here are the scores. Conduct a two-tailed t test at the .05 α level. Are the customers significantly more satisfied with one package or the other?


Reject the null hypothesis


Do not reject the null hypothesis


Not enough information


Both



.
4 points

Question 17




An Internet provider wonders if its cable Internet customers are significantly more satisfied with one or the other of its two packages -- free e-mail or free basic TV. *The company surveys 12 customers currently receiving free e-mail with their cable Internet and 12 customers currently receiving free basic TV with their cable Internet. Satisfaction scores range from 1 to 10 based on answers to the survey questions. Conduct a two-tailed t test at the .05 α level. Are the customers significantly more satisfied with one package or the other?


Reject the null hypothesis


Do not reject the null hypothesis


Not enough information


Both



.
4 points

Question 18





A research conducts a one-tailed two-sample t test on 32 subjects (16 subjects in each group) and finds that t = 2.182. How many degrees of freedom are there in this study?


32


31


30


29



.
4 points

Question 19





A research conducts a one-tailed two-sample t test on 32 subjects (16 subjects in each group) and finds that t = 2.182. About what is the actual Type 1 error for the study?


between 2.5 and 3


between 0 and .05


between 3 and 3.5


between 1 and 2.5



.
4 points

Question 20




A research conducts a one-tailed two-sample t test on 32 subjects (16 subjects in each group) and finds that t = 2.182. How confident can the researcher be that the results are true and not due to mere sampling error?


Around 98%


Around 86%


Around 84%


Around 62%



.
4 points

Question 21




A research conducts a one-tailed two-sample t test on 32 subjects (16 subjects in each group) and finds that t = 2.182. Report the results as they would appear in an academic journal.


t(30) = .05, p = .83


t(30) = .05, p = .02


t(30) = 2.182, p = .02


t(30) = 2.182, p = .83



.
4 points

Question 22





A researcher conducts a one-tailed independent samples t test on 20 subjects (10 subjects in each group) and finds that t = 2.32665. How many degrees of freedom are in this study?


18


19


20


21



.
4 points

Question 23




A researcher conducts a one-tailed independent samples t test on 20 subjects (10 subjects in each group) and finds that t = 2.32665.About what is the actual Type 1 error in the study?


Between 0 and .075


Between 1 and 2.5


Between 2.5 and 3.5


Between 3.5 and 4.5



.
4 points

Question 24




A researcher conducts a one-tailed independent samples t test on 20 subjects (10 subjects in each group) and finds that t = 2.32665.How confident can the research be that the results are true and not due to mere sampling error?



50


79


100



.
4 points

Question 25





A researcher conducts a one-tailed independent samples t test on 20 subjects (10 subjects in each group) and finds that t = 2.32665. Report the results as they would appear in an academic journal.


t(18) = 7.32568, p = .50


t(18) = 7.32568, p = .02


t(18) = 2.32665, p = .50


t(18) = 2.32665, p = .02

Click here to see answer by Fombitz(32388) About Me 

Question 962139: Bethany sock drawer contains 8 blue and 5 black
socks. If she randomly pulls out one sock, DOES
NOT replace it, then pulls out another sock, what is
the probability the she picks a pair of blue socks?

Click here to see answer by Alan3354(69443) About Me 

Question 962258: A natural number is selected at random from 1 to 100. Find the probability of
(a) getting a multiple of 4,
(b) getting a number that is not a multiple of 4.
Can someone plz help me with this question??

Click here to see answer by Edwin McCravy(20054) About Me 

Question 961740: need help please
A group of investors wants to develop a chain of fast-food restaurants. In determining potential costs for each facility, they must consider, among other expenses, the average monthly electric bill. They decide to sample some fast-food restaurants currently operating to estimate the monthly cost of electricity. They want to be 99% confident of their results and want the error of the interval estimate to be no more than $100. They estimate that such bills range from $600 to $2,500. How large of a sample should they take?
need to show the work

Click here to see answer by stanbon(75887) About Me 

Question 962269: The diameter of a brand of Ping Pong balls is approximately normally distributed, with a mean of 1.31 inches and a standard deviation of 0.08 inches. A random sample of 4 balls is selected.
-The probability is 50% that the sample mean will be between what two values, symmetrically distributed around the population mean?
Lower bound: __ inches
Upper bound: __ inches
I'm pretty sure I need to start by finding a Z score, but am having a hard time figuring which formulas I need to use, for that and to finish the problem. Thanks.

Click here to see answer by stanbon(75887) About Me 

Question 962287: A die is rolled 
12 
times. Find the probability of rolling exactly 1 
one.

Click here to see answer by Alan3354(69443) About Me 

Question 962312: A club with 25 members is voting on a proposal. A group of 4 has decided to vote in favor of the proposal while each of the rest of the members vote independently with a chance of 45% in favor of the proposal. What are the chances that the proposal will get the majority vote.
Click here to see answer by stanbon(75887) About Me 

Question 962238: if there are 5 red balls ,10 black balls if we any 2 balls at randomly what is the probability of getting Both as red balls?
Click here to see answer by stanbon(75887) About Me 

Question 962403: A recent study suggests that 70% of all elegible voters will vote in the next presidential election. Suppose 20 elegible voters were rondomly selected from the population of all elegible voters. How manyof the sample voters do we expect to voter in the next presidential election?
Click here to see answer by jjthomson83(4) About Me 

Question 962392: It is known that 15% of all people have pets. If 15 people are selected at random, what is the probability that exactly four people will have pets?
Click here to see answer by jjthomson83(4) About Me 

Question 962200: An Easter basket of 25 plastic eggs has ten eggs that have money inside. If 7 eggs are selected at random from the basket, determine the probability that at least one of the seven eggs selected has money inside it?
Click here to see answer by stanbon(75887) About Me 

Question 962429: In a certain college, 30% of the physics majors belong to ethnic minorities. If 10 students areselected at random from the physics majors, what is the probability that no more than 4 belong to an ethnic minority?
Click here to see answer by stanbon(75887) About Me 

Question 962478: You are dealt 5 cards from a standard 52- card deck. What is the probability that your hand has at least 2 aces?
Click here to see answer by stanbon(75887) About Me 

Question 962537: There are 24 students in a classroom. One student will be randomly selected. If there are 9 boys and 15 girls in the class, what is the probability that the person picked will be a boy?
Click here to see answer by macston(5194) About Me 

Question 962516: For the following set of data, find the population variance, to the nearest 10th.
142, 161, 159, 115, 140, 154, 167

Click here to see answer by amarjeeth123(569) About Me 

Question 962665: X is a normally distributed random variable with a mean of 10.00. If the probability that X is less than 11.54 is 0.67 (as shown below), then what is the standard deviation of X? Round to 2 decimal places.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 962937: There are three quarters, two dimes, a nickel, and a penny in a jar. If one coin is chosen at random, what is the probability that it will be a dime or a penny?
1
7

2
7

3
7

4
7

Click here to see answer by Fombitz(32388) About Me 

Question 962940: Could someone please tell me if these answers are correct - thanks
According to a 2003 report, in California Chocko Chip Cookie sales have a mean of $1323 per week. Suppose that a random sample of 30 weeks in 2009 in the same stores showed that Chocko Chip Cookies were selling at a mean rate of $1208 with a sample standard deviation of $275. Does this sample indicate that the sales of Chocko Chip Cookies is different from the earlier figure?
(A) Write the null and alternative hypothesis.
Ho: u=1323 H1: u does not equal 1323
(B) Determine the critical values
Two-tailed test +/-
(C) Calculate the test statistic
1208-1323/275/sqrt30 = -2.290
(D) Decide whether to reject or accept the null hypothesis
Do not reject
(E) Write a full conclusion
The mean salesof Chocko Chip Cookies is not significantly different from
$1323

Click here to see answer by rothauserc(4718) About Me 

Question 962979: Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 40 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.00 ml/kg for the distribution of blood plasma.
(a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.)
lower limit?
upper limit?
margin of error?
(d) Find the sample size necessary for a 99% confidence level with maximal error of estimate E = 2.60 for the mean plasma volume in male firefighters. (Round up to the nearest whole number.)
_______ male firefighters

Click here to see answer by stanbon(75887) About Me 

Question 963013: if you were to randomly sample 200 m&m's in a large bag what is the approximate probability that at least sixty percent of them are brown
Click here to see answer by Alan3354(69443) About Me 

Question 963422: you are dealt one card in a deck of 52, what is the probability of getting a 10 or a 7
Click here to see answer by macston(5194) About Me 

Question 963364: Gino has 5 blue socks and 4 black socks. He selected one sock at random. Without replacing the sock, he selects a second sock at random. Find each probability.
P(blue, then black)
P(black, then blue)
P(black, then black)
P(blue, then blue)

Click here to see answer by Fombitz(32388) About Me 

Question 955538: A bag contains 26 letters and 9 numerals. Aubrey draws two cards from the bag. What is the probability that she draws 2 numerals?
A.36/595
B.2/35
C.13/127
D.1/14

Click here to see answer by 58713(1) About Me 

Question 963619: A student correctly answered 9 out of 12 questions, what is the probability of her answering the next question correctly?
Click here to see answer by Alan3354(69443) About Me 

Question 963706: Determine whether the distribution represents a probability distribution (yes or no). If not, identify any requirements that are not satisfied. Can you please tell me how to solve this?
X. P
3. -0.3
6. 0.5
9. 0.1
12. 0.3
15. 0.4

Click here to see answer by jim_thompson5910(35256) About Me 

Question 963838: Twenty-six slips of paper are each marked with a different letter of the alphabet and placed in a basket. A slip is pulled out, its letter recorded (in the order in which the slip was drawn), and the slip is replaced. This is done 5 times. find the probability that a word starts with "p"
I got 1/26^5= =0.000000084 BUT I know that is not right. Can someone break it down for me please.

Click here to see answer by Fombitz(32388) About Me 

Question 964030: a dice is thrown 9000 times and 3 or 4 is observed 3240 times can we say dice is fair.
Click here to see answer by Theo(13342) About Me 

Question 964117: if a die is tossed once.what is the probability of obtaining even or prime number. ...... 2/3 1/3
Click here to see answer by Fombitz(32388) About Me 
Question 964117: if a die is tossed once.what is the probability of obtaining even or prime number. ...... 2/3 1/3
Click here to see answer by LinnW(1048) About Me 

Question 964091: The “Economic Report to the President of the United States” included data on the amounts of manufacturers’ new and unfilled orders in millions of dollars. Shown here are the figures for new orders over a 21-year period.
Use the Charting tool in Excel to develop a regression model to fit the trend effects for these data. Use a linear model and then try a polynomial (order 2) model. Make sure the charts show the line formula and the r-squared value. Include both charts in your report. Then answer the following question:
• How well does either model fit the data? Which model should be used for forecasting? Explain using the relevant metrics.
This is what I need help in:
polynomial (order 2)
Year Total Number of New Orders
1 55,022
2 55,921
3 64,182
4 76,003
5 87,327
6 85,139
7 99,513
8 115,109
9 116,251
10 121,547
11 123,321
12 141,200
13 162,140
14 168,420
15 171,250
16 176,355
17 195,204
18 209,389
19 237,025
20 272,544
21 293,475

Click here to see answer by Theo(13342) About Me 

Question 964222: Use Chebyshev's theorem to solve the problem.
Find the least possible percentage of numbers in a data set lying within 3/2 standard deviations of the mean. Give your answer to the nearest tenth of a percent.

Click here to see answer by rothauserc(4718) About Me 

Question 964221: Scores on a test are approximately normally distributed with a mean of 70 and a standard deviation of 9. The teacher wants to give A's to the top 10% of students. What is the bottom cutoff for an A grade? Round your answer to he nearest whole number.
Click here to see answer by rothauserc(4718) About Me 

Question 964235: If we estimate that there are 45 candies in a jar when there are actually 60 candies, what is the percentage error
Click here to see answer by Theo(13342) About Me 

Question 964244: Hello, I am needing help for the following question. It would help if I could see how to set it up and eventually get the answer.
I have a list of 11 chores to do over the weekend. Unfortunately, there is only enough time to get 4 of them done before Monday. How many different ways can you complete the chores?
Thank you

Click here to see answer by KMST(5328) About Me 

Question 964242: Hello, I am needing help for the following question. It would help if I could see how to set it up and eventually get the answer.
How many 5 letter passwords can be made if each letter in the alphabet can be used only once?
Thank you

Click here to see answer by Alan3354(69443) About Me 

Question 964243: Hello, I am needing help for the following question. It would help if I could see how to set it up and eventually get the answer.
There are 31 flavors to choose from you can get four scoops each of a different flavor. How many variations can you order?
Thank you

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 964304: From a standard deck of cards, what is the probability that you will draw a card with a number on it?
Click here to see answer by macston(5194) About Me 

Question 964371: Put the following in order smallest to largest:-
2/3
5/8
0.82
0.2
70%
33%

Click here to see answer by amarjeeth123(569) About Me 

Question 964342: A bag has 6 number tiles numbered one through six. You draw a number tile, replace the tile and draw a second tile. What is the probability that you will draw a 4 and then a 3?

Click here to see answer by checkley77(12844) About Me 

Question 964391: A symmetric die is thrown 720 times. Use Chebyshev’s inequality to find
the lower bound for the probability of getting 100 to 140 sixes.

Click here to see answer by rothauserc(4718) About Me 

Question 964305: Two seniors, one from each government class are randomly selected to travel to Washington, DC. John is in a class of 18 students and Maureen is in a class of 20 students. Find the probability that both John and Maureen will be selected.
Click here to see answer by checkley77(12844) About Me 

Question 964280: What is the probability of drawing a 10 and then a 5 from a deck of cards (sampling WITH replacement)?

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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