14. Coastal areas of the United States including Cape Cod, the Outer Banks, the Carolinas, and the Gulf Coast had relatively high population growth rates during the 1990s. Data were collected on residents living in the coastal communities as well as on residents living in noncoastal areas throughout the United States (USA Today, July 21, 2000). Assume that the following sample results were obtained on the ages of individuals in the two populations:

Test the hypothesis of no difference between the two population means. Use α  .05.

a. Formulate the null and alternative hypotheses.

b. What is the value of the test statistic?

c. What is the p-value?

d. What is your conclusion?