Mrs grant wishes to compare the performance of 6th graders with the national norm of 100 on a test. The results lead to retain if null hypothesis…

1. Mrs grant wishes to compare the performance of 6th graders with the national norm of 100 on a test. The results lead to retain if null hypothesis and mean is 100 and confidence level is 0.01 of her population. She concludes that her research process that the average 6th grader in the district fall right on the national norm of 100. What is your reaction to such a claim?2. State the critical values for testing null hypothesis mean =500 against alternative hypothesis mean < 500 where alpha = 0.01, 0.05, 0.103. To which hypothesis H0 or H1 do we restrict the use of the terms retain and reject?4. Under what conditions is a directional H1 appropriate?5. On the basis of her statistical analysis, a researcher retains the hypothesis Ho:U = 250. What is the probability that she has committed a type I error? explain.6. What is the relationship between the level of significance and the probability of a type I error?7. Suppose a researcher wishes to test H0 U = 100 against H1U>100 using 0.05 level of significance; however if she obtains a sample mean far enough below 100 to suggest that is Ho unreasonable, she will switch her alternative hypothesis to Ho not equal 100 (significance level 0.05 with the same sample data. Assume H- to be true. What is the probability that this decision strategy will result in a type I error. Sketch the sampling distribution and put in the region of rejection?