To compare the average swimming times for two swimmers, each swimmer was asked to swim freestyle for a distance of 100 y

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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 Y 1 (98.28 KiB) Viewed 76 times

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 59.63 59.73 59.80 59.40 59.49 59.44 59.33 59.64 59.66 59.73 59.77 59.51 59.49 59.62 59.65 59.84 60.02 59.67 59.87 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. OHO: (H1 - H2) = 0 versus 1: (H1 - H2) = 0 OHO: (M1 – u) < 0 versus H : (wy - My) > 0 OHO: (H1 - H2) = 0 versus H : (H1 - Hy) < 0 O Ho: (M1 - M2) # O versus Hy: (#1 - M2) = 0 OHO: (47 - H2) = 0 versus H : (H1 - H2) > 0 State the test statistic. (Round your answer to three decimal places.) Find the approximate p-value for the test. O p-value < 0.005 O 0.005 < p-value < 0.010
Ho: (uz - 42) = 0 versus Ha: (un – uz) > 0 : State the test statistic. (Round your answer to three decimal places.) t = Find the approximate p-value for the test. O p-value < 0.005 0.005 < p-value < 0.010 0.010 < p-value < 0.025 0.025 < p-value < 0.050 0.050 < p-value < 0.100 p-value > 0.100 Interpret the results. O Ho is not rejected. There is sufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1. Ho is rejected. There is sufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1. Ho is not rejected. There is insufficient evidence to conclude that the average time for swimmer 2 is still faster than that of swimmer 1. O Ho is rejected. There is insufficient evidence to con ude th the average time for swimmer 2 is st faster than that of swimmer 1. You may need to use the appropriate appendix table to answer this question.