# HW9 - 36-226 HOMEWORK 9 Due Friday at 9:30am in class...

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36-226 HOMEWORK 9 Due: Friday 4/22/16 at 9:30am in class Remember to show all work ; just writing down the answer will not receive credit. 1. Back to our altered Wackerly 10.17: Recall that we were interested in the amount of breaststroke training (in meters) for two types of competitive swimmers: those who specialize in breaststroke and those who specialize in the individual medley (all four strokes). We had two groups of swimmers (Group 1 = breaststroke; Group 2 = IM). Below is a reminder of your summary information: n 1 = 130; ¯ x 1 = 9017m; s 2 1 = 7162 2 n 2 = 80; ¯ x 2 = 5853m; s 2 2 = 1961 2 (a) Let’s say that n 1 is actually 13 (instead of 130) and n 2 is 8 (instead of 80). Test the null hypothesis that the breaststroker group averages 10,000m a week of breaststroke training against the alternative of not 10,000m: Write down your null and alternative hypotheses. Find the Rejection Region for α = 0 . 05 and α = 0 . 10. Calculate your test statistic. Find the exact p-value for your test statistic using R and an approximate p-value using Table 5, Appendix 3. What conclusion do you reach? State in context.

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• Spring '12
• NUGENT
• Statistics, Null hypothesis, Statistical hypothesis testing, µA, average stay

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