Spring09Midterm1B

# Spring09Midterm1B - Midterm 1 Form B Spring 2009 Economics...

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2. Suppose you perform a test of the null hypothesis H 0 : σ 2 = 10 versus the alternative hypothesis H 1 : σ 2 6 = 10. You obtain a p-value of 0.014 for the test. Now consider forming a conﬁdence interval for the true population variance, using the same data. Among the following, which is the widest conﬁdence interval not containing 10? a. A 99% conﬁdence interval b. A 98% conﬁdence interval c. A 97% conﬁdence interval d. A 95% conﬁdence interval e. All of the above will contain 10 3. You would like to form a 90% conﬁdence interval for the average income of UIUC philosophy graduates. A previous study suggests that the standard deviation of philosophy graduates’ salaries is around \$12000. You would like the interval to be no more than \$3000 wide. How many people should you sample? z 0 . 10 = 1 . 282 z 0 . 05 = 1 . 645 z 0 . 025 = 1 . 960 a. 26 b. 27 c. 43 d. 44 e. 62 4. You believe that the scholarship athletes will have a lower GPA compared to the average student. To prove your claim, you obtain transcripts of 32 scholarship athletes, and calculate their average GPA to be 2.96 with a standard deviaion of 0.58. You remember reading in the Daily Illini that the average UIUC GPA was 2.83. If you were to run a hypothesis test of H 0 : μ A = 2 . 83 versus the alternative H 1 : μ A < 2 . 83, in what range would your p-value ( p ) lie?
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Spring09Midterm1B - Midterm 1 Form B Spring 2009 Economics...

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