Based on two random samples of 40 runners from each marathon, use… Based on two random samples of 40 runners from each marathon, use the sample summary statistics below to calculate a p-value for a hypothesis test for a difference between average times in the New York and Boston Marathons. Please write both the hypotheses using the form:NY-BBe sure to check conditions, calculate the appropriate degrees of freedom (you may use either approach we discussed in class for two-sample means), calculate the standard error, calculate a test statistic, and show your work.New York:Sample Mean: 250Standard deviation: 24Sample: 40Boston:Sample Mean: 225.5Standard deviation: 20Sample: 40MathStatistics and Probability MATH STATS
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