5. A manufacturing firm has been averaging 18.2 orders per week for several years. The standard deviation was 3.3 orders. But recent changes in the economyr appear to have increased orders. If the average number of orders has indeed increased, the production manager plans to hire a number of additional workers. a. 1What is the parameter of interest in this problem? [1 mark] b. Formulate the null and alternative hypotheses in terms of the parameter mentioned in part (a). [1 mark] c. The f irm's production manager randomly selected 35 recent weeks and found a sample mean of 19.7 orders. Calculate the test statistic and p-value [3 marks] d. Does the production manager have sufficient evidence to conclude the average number of orders has significantly i ncreased? Use level of significance] alpha = 0.05. [2 marks]