According to the U.S. Bureau of Labor Statistics, personal expenditures for entertainment fees and admissions averaged $349 per person in the Northeast and $420 in the West.
Assuming that these data involved (1) sample sizes of 800 and 600 and (2) standard deviations of $215 and $325, respectively, use a z-test and the 0.01 level of significance in testing the difference between these means.
Determine and interpret the p-value for the test.
Construct and interpret the 99% confidence interval for the test.