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    Physical Fitness Course Before and After Analysis

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    The number of sit-ups that a person can do in one minute, both before and after a physical fitness course was recorded. The data is shown below for 10 randomly selected participants. Is there sufficient evidence to conclude that a significant amount of improvement took place? Assume variable is normally distributed. Test using  = 0.01. (6 pts)

    Before 30 23 25 29 27 25 30 45 34 26
    After 31 27 25 35 34 35 32 52 50 43

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    Solution Summary

    This solution presents the null and alternative hypothesis and calculates the difference between the before and after data as well as the F-statistic. A decision is made to accept or reject the null hypothesis by comparing the F-statistic to the p-value.