The mean income per person in the United States is $44,000, and the distribution of incomes follows a normal distribution. A random sample of 15 residents of Wilmington, Delaware, had a mean of $48,000 with a standard deviation of $10,500. At the 0.100 level of significance, is that enough evidence to conclude that residents of Wilmington, Delaware, have more income than the national average?
- State the null hypothesis and the alternate hypothesis.
- State the decision rule for 0.100 significance level. (Round your answer to 3 decimal places.)
- Compute the value of the test statistic. (Round your answer to 2 decimal places.)
- Is there enough evidence to substantiate that residents of Wilmington, Delaware, have more income than the national average at the 0.100 significance level?
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