Question
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
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. |
|
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