Question 2 10 pts A prospective MBA student was made to estimate the difference in the salaries of professors in private and state universities. An independent study of simple random samples of the most recent MBA graduates of both universities revealed the following statistics: Conduct a test using 0.01 level of significance. nun Massimo. State 53,133.?r mo. 2,100 49 A. State the null and alternative hypothesis in symbols. (2 ptsl ( =.,E.<.5.>) ll ' Ho'- 'l ____ #2 l l-Har re __._ #2 B. Choose the test statistic applied where a: = 0.01 . (1 pt] C. Determine the critical points [1 pt) D. Computations of test statistic (3 pts] E. Decision ('1 pt} F. Conclusion (2 pts) Question 1 10 pts A school teacher suspects the claim that the mean number of students that use library materials in a certain school is at most 450. To check the claim, the professor check a random sample of 100 library records and obtain that the mean number of students using library materials is 458 with a standard deviation of 9. What would the teacher's conclusion using 0.05 level of significance? A. State the null and alternative hypothesis in symbols. (2 pts) ( = , #, 2, ) .Ho: M __450 Ha: H __ 450 B. Choose the test statistic applied where o = 0.05 . (1 pt] C. Determine the critical points (1 pt) D. Computations of test statistic (3 pts) E. Decision (1 pt) F. Conclusion (2 pts)