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The mean income per person in the United States is $40,000, and the distribution of incomes follows a normal distribution. A random sample of 10 residents of Wilmington, Delaware, had a mean of $50,000 with a standard deviation of $10,000. At the .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 decision rule for .05 significance level

 

Reject H0 if t >

 

b.Compute the value of the test statistic.

 

Value of the test statistic

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