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    Test the Claim of Average Minutes to Complete a 1 Mile Run

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    Studies have shown that humans complete a 1 mile run in an average of 12.2 minutes. There is a separate group of 30 who complete a 1 mile run with an average of 8.67 minutes with a standard deviation of 0.33 minutes.

    a- Using a 0.05 significance level, test the claim that the population mean is different than 12.2 minutes based on the sample given.
    b- Construct a 99% confidence interval estimate of the mean time.

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    Solution Summary

    The solution tests the claim of average minutes to complete a 1 mile run.