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To compare the averape swimming times for twvo swimmers. each swimmer was asked to sim freestyle for a distance of 100 yards at randomly selected times. The swimmers were thoroughly rested between laps and did not race against each other so that each sample of times was an independent random sample. The times for each of 10 trials are shown for the twe swimmers. Swimmer 1 Swimmer 2 59.61 59.75 59.80 59.42 59.49 59.44 59.33 9.62 59.64 59.71 59.75 59.49 59.49 59.42 s9.62 59.82 60.00 59.69 59.8s 59.50 A USE SALT Suppose that swimmer 2 was last year's winner when the twe swimmers raced. Does it appear that the average time for swimmer 2 is still faster than the average time for swimmer i in the 100-yard freestyle? (Use Swimmer 1- Swimmer 2. Use a 0.05.) State the null and alternative hypotheses. Hgi ( - Hg) - 0 versus H: ( - Hg) < 0 O Mgi ( - Hg) < 0 versus H ( - Hg) >0 O Ho! ( - 2) - o versus H ( - Ha) >0 O Ho: ( - g)- o versus H ( - Hg) = 0 O Hgi ( - Hg) - o versus H ( - H) 0 State the test statistic. (Round your answer to three decimal places.) Find the appreximate p-value for the test. Opvalue <0.005 O 0.005 < e-value 0.010 0.010 < p-value < 0.025 lo 0.025 < p-value < 0.050 lo 0.050 p-value 0.100 value > 0.100 Enterpret the results. OH, is rejected. There is sufficient evidence to conclude that the averape time for simmer 2 is still faster than that of swimmer 1. OH, is not rejected. There is insufficient evidence to conclude that the average time for swimmer 2is stil faster than that of swimmer 1. O H, is not rejected. There is sufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1. H, is rejected. There is insufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1.

To compare the averape swimming times for twvo swimmers. each swimmer was asked to sim freestyle for a distance of 100 yards at randomly selected times. The swimmers were thoroughly rested between laps and did not race against each other so that each sample of times was an independent random sample. The times for each of 10 trials are shown for the twe swimmers. Swimmer 1 Swimmer 2 59.61 59.75 59.80 59.42 59.49 59.44 59.33 9.62 59.64 59.71 59.75 59.49 59.49 59.42 s9.62 59.82 60.00 59.69 59.8s 59.50 A USE SALT Suppose that swimmer 2 was last year's winner when the twe swimmers raced. Does it appear that the average time for swimmer 2 is still faster than the average time for swimmer i in the 100-yard freestyle? (Use Swimmer 1- Swimmer 2. Use a 0.05.) State the null and alternative hypotheses. Hgi ( - Hg) - 0 versus H: ( - Hg) < 0 O Mgi ( - Hg) < 0 versus H ( - Hg) >0 O Ho! ( - 2) - o versus H ( - Ha) >0 O Ho: ( - g)- o versus H ( - Hg) = 0 O Hgi ( - Hg) - o versus H ( - H) 0 State the test statistic. (Round your answer to three decimal places.) Find the appreximate p-value for the test. Opvalue <0.005 O 0.005 < e-value 0.010 0.010 < p-value < 0.025 lo 0.025 < p-value < 0.050 lo 0.050 p-value 0.100 value > 0.100 Enterpret the results. OH, is rejected. There is sufficient evidence to conclude that the averape time for simmer 2 is still faster than that of swimmer 1. OH, is not rejected. There is insufficient evidence to conclude that the average time for swimmer 2is stil faster than that of swimmer 1. O H, is not rejected. There is sufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1. H, is rejected. There is insufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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To compare the average swimming times for two swimmers, each swimmer was asked to swim freestyle for a distance of 100 yards at randomly selected times. The swimmers were thoroughly rested between laps and did not race against each other, so that each sample of times was an independent random sample. The times for each of 10 trials are shown for the two swimmers. Swimmer 1 Swimmer 2 59.61 59.75 59.80 59.42 59.49 59.44 59.33 59.62 59.64 59.71 59.75 59.49 59.49 59.62 59.63 59.82 60.00 59.69 59.85 59.50 In USE SALT Suppose that swimmer 2 was last year's winner when the two swimmers raced. Does it appear that the average time for swimmer 2 is still faster than the average time for swimmer 1 in the 100-yard freestyle? (Use Swimmer 1 - Swimmer 2. Use a = 0.05.) State the null and alternative hypotheses. O Ho: (H, - l2) = 0 versus H: (M, - H2) < 0 O Ho: (H1 - U2) < O versus H,: (ly - H2) > 0 O Ho: (H, - l2) = 0 versus H: (M, - H2) > 0 O Ho: (H, - u2) + 0 versus H: (H, - H2) = 0 O Ho: (H, - 2) = 0 versus H: (M, - H2) = 0 State the test statistic. (Round your answer to three decimal places.) t = 0.301 Find the approximate p-value for the test. O p-value < 0.005 O 0.005 < p-value < 0.01o O 0.010 < p-value < 0.025 O 0.025 < p-value < 0.050 O 0.050 < p-value < 0.100 O p-value > 0.100 Interpret the results. O H, is rejected. There is sufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1. O H, is not rejected. There is insufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1. H, is not rejected. There is sufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1. O H, is rejected. There is insufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1.
Transcribed Image Text:To compare the average swimming times for two swimmers, each swimmer was asked to swim freestyle for a distance of 100 yards at randomly selected times. The swimmers were thoroughly rested between laps and did not race against each other, so that each sample of times was an independent random sample. The times for each of 10 trials are shown for the two swimmers. Swimmer 1 Swimmer 2 59.61 59.75 59.80 59.42 59.49 59.44 59.33 59.62 59.64 59.71 59.75 59.49 59.49 59.62 59.63 59.82 60.00 59.69 59.85 59.50 In USE SALT Suppose that swimmer 2 was last year's winner when the two swimmers raced. Does it appear that the average time for swimmer 2 is still faster than the average time for swimmer 1 in the 100-yard freestyle? (Use Swimmer 1 - Swimmer 2. Use a = 0.05.) State the null and alternative hypotheses. O Ho: (H, - l2) = 0 versus H: (M, - H2) < 0 O Ho: (H1 - U2) < O versus H,: (ly - H2) > 0 O Ho: (H, - l2) = 0 versus H: (M, - H2) > 0 O Ho: (H, - u2) + 0 versus H: (H, - H2) = 0 O Ho: (H, - 2) = 0 versus H: (M, - H2) = 0 State the test statistic. (Round your answer to three decimal places.) t = 0.301 Find the approximate p-value for the test. O p-value < 0.005 O 0.005 < p-value < 0.01o O 0.010 < p-value < 0.025 O 0.025 < p-value < 0.050 O 0.050 < p-value < 0.100 O p-value > 0.100 Interpret the results. O H, is rejected. There is sufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1. O H, is not rejected. There is insufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1. H, is not rejected. There is sufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1. O H, is rejected. There is insufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1.
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