Answer Happy

please answer all parts
1. A manufacturing plant wants to determine whether its manager performance rating (0-100) changed from last month to this month. The table shows the performance ratings of the same six managers for last month and this month. Manager 1 2 3 4 5 6 70 76 81 78 Last month's rating 85 96 This month's rating 88 85 89 86 92 89 (a) (2 pts.) State the correct hypotheses to test the claim that there was no difference in the ratings between last month and this month. Ho: Ha: (b) (4 pts.) In the context of the problem, explain Type I error and Type II error. Type I Error: Type II Error: (c) (5 pts.) Find the value of the standardized test statistic.