I'm in a bit of a rush thank you!

2. (8 points) A number of STAT students wish to test the claim that the average cost of men's haircut is greater than $28. They select a random sample of 17 barbershops and found the following data set. (Assume that the target population is approximately normally distributed) 31 29 36 29 28 35 39 16 37 15 29 25 45 49 26 39 30 a) [2] Construct a 90% confidence interval for the population mean. Statistics STAT 106 Page 2 of 4 b) [1] Carefully interpret the confidence intervals. c) [1] State the null and alternative hypotheses to verify the claim. d) [1] Sketch a graph and mark the rejection region for a 1% level of significance.e) [1] Calculate the test statistic value. f) [1] Make the decision according to the critical value approach. g) [1] Give a conclusion based on your decision