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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).
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Service times are exponentially distributed and average 24 per hour. Customers that arrive when all seats are taken do not enter the diner. The probability that there are no customers in the diner is?
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A random sample of 81 credit sales in a department store showed an average sale of $68.00. From past data, it is known that the standard deviation of the population is $27.00.
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