The mean income per person in the United States is $42,500, and the distribution of incomes follows a normal distribution. A random sample of 12 residents of Wilmington, Delaware, had a mean of $53,500 with a standard deviation of $11,000. At the 0.05 level of significance, is that enough evidence to conclude that residents of Wilmington, Delaware, have more income than the national average?

(a)	State the null hypothesis and the alternate hypothesis.

H0:
H1: >

(b)	State the decision rule for 0.05 significance level. (Round your answer to 3 decimal places.)

Reject H0 if t >

(c)	Compute the value of the test statistic. (Round your answer to 2 decimal places.)

Value of the test statistic

(d)	Is there enough evidence to substantiate that residents of Wilmington, Delaware have more income than the national average at the 0.05 significance level?

H₀. There is evidence to conclude that the mean income in Wilmington is

$42,500.