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eague A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this clai andom sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts a) through d) below) Sample of Runs ) Draw side-by-side boxplots of the number of runs scored by League A teams with and without their DH. Choose the correct graph below. OA. OB. O C. B 10 15 XXX CILE Q Q O D. Does there appear to be a difference in the number of runs between these situations? OA. No because the number of runs scored in a League A park is about the same as the number of runs scored in a League B park. OB. No but the number of runs scored in a League A park appear to be slightly higher than the number of runs scored in a League B park. OC. Yes because the number of runs scored in a League A park appear to have a higher median than the number of runs scored in a League OD. Yes because the number of runs scored in a League B park appear to have a higher median than the number of runs scored in a League A park park XX Q Q Full data set League A Park (with DH) 3 6 8 6 2 1 3 12 4 9 4 6 1 2 6 7 5 9 3 14 14 5 2 8 4 3 3 5 3 9 3 5 2 4 1 2 6 6 League B Park (without DH) 5 5 4 7 6 2 2 4 9 3 6 7 5 7 9 10 1 3 4 13 7 5 2 0

eague A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this clai andom sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts a) through d) below) Sample of Runs ) Draw side-by-side boxplots of the number of runs scored by League A teams with and without their DH. Choose the correct graph below. OA. OB. O C. B 10 15 XXX CILE Q Q O D. Does there appear to be a difference in the number of runs between these situations? OA. No because the number of runs scored in a League A park is about the same as the number of runs scored in a League B park. OB. No but the number of runs scored in a League A park appear to be slightly higher than the number of runs scored in a League B park. OC. Yes because the number of runs scored in a League A park appear to have a higher median than the number of runs scored in a League OD. Yes because the number of runs scored in a League B park appear to have a higher median than the number of runs scored in a League A park park XX Q Q Full data set League A Park (with DH) 3 6 8 6 2 1 3 12 4 9 4 6 1 2 6 7 5 9 3 14 14 5 2 8 4 3 3 5 3 9 3 5 2 4 1 2 6 6 League B Park (without DH) 5 5 4 7 6 2 2 4 9 3 6 7 5 7 9 10 1 3 4 13 7 5 2 0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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In baseball, League A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In League B, the pitcher must bat. The common belief is that this results in League A teams scoring more runs. In interleague play, when League A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this claim, a random sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts a) through d) below. X Sample of Runs a) Draw side-by-side boxplots of the number of runs scored by League A teams with and without their DH. Choose the correct graph below. OA. B. O C. B A B A 0 5 5 10 10 15 XXX 15 Does there appear to be a difference in the number of runs between these situations? O D. 0 B A B A 5 10 10 OA. No because the number of runs scored in a League A park is about the same as the number of runs scored in a League B park. OB. No but the number of runs scored in a League A park appear to be slightly higher than the number of runs scored in a League B park. OC. Yes because the number of runs scored in a League A park appear to have a higher median than the number of runs scored in a League B park. OD. Yes because the number of runs scored in a League B park appear to have a higher median than the number of runs scored in a League A park. b) Explain why a hypothesis test may be used to test whether the mean number of runs scored for the two types of ballparks differ. XX X 15 15 6 1 4 9 4 6 1 2 6 4 33 League A Park (with DH) 2 3 6 8 3 7 6 4 12 6 13 9 6 3 2 5 14 14 7 635668 55 Print Full data set 5 League B Park (without DH) 5 4 7 2 2 4 1 2 7 5 0 9 2 10 4 9 3 2 137 Done [
Transcribed Image Text:In baseball, League A allows a designated hitter (DH) to bat for the pitcher, who is typically a weak hitter. In League B, the pitcher must bat. The common belief is that this results in League A teams scoring more runs. In interleague play, when League A teams visit League B teams, the League A pitcher must bat. So, if the DH does result in more runs, it would be expected that league A teams will score more runs in League A park than when visiting League B parks. To test this claim, a random sample of runs scored by league A teams with and without their DH is given in the accompanying table. Complete parts a) through d) below. X Sample of Runs a) Draw side-by-side boxplots of the number of runs scored by League A teams with and without their DH. Choose the correct graph below. OA. B. O C. B A B A 0 5 5 10 10 15 XXX 15 Does there appear to be a difference in the number of runs between these situations? O D. 0 B A B A 5 10 10 OA. No because the number of runs scored in a League A park is about the same as the number of runs scored in a League B park. OB. No but the number of runs scored in a League A park appear to be slightly higher than the number of runs scored in a League B park. OC. Yes because the number of runs scored in a League A park appear to have a higher median than the number of runs scored in a League B park. OD. Yes because the number of runs scored in a League B park appear to have a higher median than the number of runs scored in a League A park. b) Explain why a hypothesis test may be used to test whether the mean number of runs scored for the two types of ballparks differ. XX X 15 15 6 1 4 9 4 6 1 2 6 4 33 League A Park (with DH) 2 3 6 8 3 7 6 4 12 6 13 9 6 3 2 5 14 14 7 635668 55 Print Full data set 5 League B Park (without DH) 5 4 7 2 2 4 1 2 7 5 0 9 2 10 4 9 3 2 137 Done [
b) Explain why a hypothesis test may be used to test whether the mean number of runs scored for the two types of ballparks differ. Select all that apply A. Each sample is obtained independently of the other. B. Each sample is a simple random sample. C. Each sample has the same sample size. D. Each sample size is large. E. Each sample size is small relative to the size of its population. c) Test whether the mean number of runs scored in a League A park is greater than the mean number of runs scored in a League B park at the a=0.01 level of significance. Determine the null and alternative hypotheses for this test. Let A represent the mean number of runs scored by a League A team in a League A park and let μB represent the mean number of runs scored by a League A team in a League B park. Ho versus H₁ Find to, the test statistic for this hypothesis test. to = (Round to two decimal places as needed.) Determine the P-value for this test P-value = (Round to three decimal places as needed.) State the appropriate conclusion. Choose the correct answer below.
Transcribed Image Text:b) Explain why a hypothesis test may be used to test whether the mean number of runs scored for the two types of ballparks differ. Select all that apply A. Each sample is obtained independently of the other. B. Each sample is a simple random sample. C. Each sample has the same sample size. D. Each sample size is large. E. Each sample size is small relative to the size of its population. c) Test whether the mean number of runs scored in a League A park is greater than the mean number of runs scored in a League B park at the a=0.01 level of significance. Determine the null and alternative hypotheses for this test. Let A represent the mean number of runs scored by a League A team in a League A park and let μB represent the mean number of runs scored by a League A team in a League B park. Ho versus H₁ Find to, the test statistic for this hypothesis test. to = (Round to two decimal places as needed.) Determine the P-value for this test P-value = (Round to three decimal places as needed.) State the appropriate conclusion. Choose the correct answer below.
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