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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.

Solution provided by:
Sandhya Sharma, MSc
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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