1. Mrs. Grant wishes to compare the performance of sixth-grade students in her district with the national norm of 100 on a widely used aptitude test. The results for a random sample of her sixth graders lead her to retain Ho:µ = 100 (x - .01) for her population. She concludes, "My research proves that the average sixth grader in our district falls right on the national norm of 100". What is your reaction to such a claim?
9. State the critical values for testing Ho:µ -=500 against H1:µ<500, where
a. x = .01
b. x = 0.5
c. x = .10
2. Suppose a researcher wishes to test Ho:µ = 100 against H1:µ >100 using the .05 level of significance; however, if she obtains a sample mean far enough below 100 to suggest that Ho is unreasonable, she will switch her alternative hypothesis to H1: ≠ 100 (æ = .05) with the same sample data. Assume Ho to be true. What is the probability that this decision strategy will result in a Type I error? (Hint: sketch the sampling distribution and put in the regions of rejection).