# Hypothesis Testing on Mean Difference Between Men and Women Running Marathon

Question

You are testing a claim that (for a certain year) the mean time required by men to run the Boston Marathon race was less than the mean time required by women to run the race. For that year, two random samples were taken from those who participated in the Boston Marathon: a sample of 20 men and sample of 30 women. For those sampled, the mean time for the men to run the race was 132 minutes and the mean time for the women to run the race was 151 minutes. Previous data has shown that the standard deviation for male race times is 29 minutes, and for females it is 36 minutes. Based on this information, using a level of significance of 0.03, test your hypothesis. Show all steps of the hypothesis process.

Summary

The question belongs to Statistics and it is about testing a hypothesis that men can run a marathon in less time than women. The data and is calculations have been given in the solution in detail.

Total Word Count 201

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