Question

In: Statistics and Probability

A track coach claims that their new month long training program will reduce your mile time by 1 minute.

A track coach claims that their new month long training program will reduce your mile time by 1 minute. You want to statistically test if the training program reduces your mile time by something other than 1 minute. You decide to randomly select 8 people and record their mile times. You then have them follow the coach’s training program for a month and record their mile times post training program. The times of the subjects are listed below. 1 Stat 301 Spring 2020 April 17, 2020 Subject Mile Time Before Training Mile Time After Training 1 9.5 vs 9 2 7 vs 7.1 3 6.7 vs 5.2 4 8.45 vs 6.8 5 6.2 vs 6.2 6 6.3 vs 8 7 7 vs 5.5 8 9 vs 7.3

(a) What type of test is appropriate for this experiment set up?

(b) State the appropriate hypotheses.

(c) How many degrees of freedom are involved in this test?

(d) Perform a test of the hypotheses from (a) using a significance level of 5%. Make sure to compute the test statistic and P-value, and make a conclusion in context.

Solutions

Expert Solution

orchestra answered 2 years ago
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