The mean income per person in the United States is $36,500, and the distribution of incomes follows a normal distribution. A random sample of 10 residents of Wilmington, Delaware, had a mean of $41,500 with a standard deviation of $8,600. At the 0.050 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.
b) State the decision rule for 0.100 significance level. (Round your answer to 3 decimal places.)
c) Compute the value of the test statistic. (Round your answer to 2 decimal places.)

Special order carson manufacturing, inc., sells a single product for $36 per unit. at an operating level of 8,000 units, variable costs are $18 per unit and fixed costs $10 per unit. carson has been offered a price of $20 per unit on a special order of 2,000 units by big mart discount stores, which would use its own brand name on the item. if carson accepts the order, material cost will be $3 less per unit than for regular production. however, special stamping equipment costing $4,000 would be needed to process the order; the equipment would then be discarded. assuming that volume remains within the relevant range, prepare an analysis of differential revenue and costs to determine whether carson should accept the special order. use a negative sign with answer to only indicate an income loss from special order; otherwise do not use negative signs with your answers.