For each of these problems, perform the following steps.

a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.

The average income of 15 randomly selected families who reside in a large metropolitan East Coast city is $62,456. The standard deviation is $9652. The average income of 11 randomly selected families who reside in a rural area of the Midwest is $60,213, with a standard deviation of $2009. At α = 0.05, can it be concluded that the families who live in the cities have a higher income than those who live in the rural areas? Use the P-value method.