MATH 65-205-91 Two independent samples of average Canadian

Two independent samples of average Canadian men and women are taken and their walking speeds (km/h) are observed. The results of random sampling are recorded below.
Men n1 =81 mean1=4.9 s1 =0.5

Women n2 =64 mean2=5.4 s2 =0.2

Perform the appropriate test of hypothesis to determine whether there is a significant difference in average walking speed (km/h) between Canadian men and women. Use the p-value approach and the critical value approach and explain your conclusion.
Find a 99% confidence interval for the difference in the average walking speed (km/h) for the two groups. Does your confidence interval confirm your conclusions in part (a)? Explain.

Please show work

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