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-B

Be 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: 250

Standard deviation: 24

Sample: 40

Boston:

Sample Mean: 225.5

Standard deviation: 20

Sample: 40