Please solve the hypothesis testing problems (#1, and 2) using Minitab as the tool. For each problem, (1) specify the business and statistical hypotheses, (2) specify what the Type I and Type II errors are in this business context, and, the implications of making those errors, (3) include the results from Minitab, (4) draw appropriate conclusions to your statistical hypotheses based on the results, and, finally, (5) present the business conclusions in a short non-statistical summary. For problem 3, use Minitab and follow instructions given with the problem. For problem 4, several analyses will be necessary. Present each analysis with business/statistical hypotheses, Minitab results, and business conclusions. Incorporate those analyses into a short report.

3. A contractor has recorded the number of jobs performed in the last seven months. A. Draw a graph of the number of jobs (as y) and time (as x). Be sure to label the axes, For each of the following methods, develop a forecast for the number of jobs for the 8" month. b. A three-period moving average C. Exponential smoothing (use Minitab default smoothing parameters) d. A linear trend equation Using the mean squared difference (MSD), explain which of the methods you believe results in the best forecast and make your recommendation to the contractor about what he should expect for the eighth month. Month Jobs Feb 19 Mar 18 Apr 15 May 20 Jun 18 Jul Aug 20