The mean income per person in the united states is $42,000 and the distribution of incomes follows a normal distribution. A random sample of 11 residents of Wilmingtion, Delaware, had a mean of $51,000 with a standard deviation of $10,800. At the 0.100 level of significance, is that enough to conclude the residents of Wilmington, Delaware, have mroe income than the national average?
1) State the null hypothesis and the alternative hypothesis
2) State the decision rule for 0.100 significance level.(round to 3 decimal places)
3) Compute the value of the test statistic. (round to 2 decimal places.)
4) Is there enough evidence to substantiate that residents of Wilmington, Delaware, have more income than the national average at the 0.100 significance level
(Reject/ Do not reject) H0. There is(sufficient/insufficient) evidence to conclude that the mean income in Wilmington is(Greater than/Less than) 42000.