f98exm2b

# f98exm2b - COURSE: MSCI 3710 EXAM 2 Version B SEMESTER:...

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COURSE: MSCI 3710 Print Name: EXAM 2 Signature: Version B S.S.#: SEMESTER: Fall 1998 Seat Number: Note: Whenever question(s) are connected you may be asked to assume a result (given a value) from the previous question but this result may or may not be correct. This is to prevent you from losing points on a second question because you made a mistake on a previous question.

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Case I: The following information pertains to the next six questions An environmentalist, concerned about the way things are going, wants to find out the fraction of oil tankers that have spills each month. She believes the fraction is about .18. 1. How large a sample would be required to estimate, at the 95% confidence level with an error of at most .06, the fraction of oil tankers that have spills each month? A. 233 B. 564 C. 158 D. 500 E. 400 2. Suppose a sample of 700 tankers is selected. Of these ships, 552 did not have spills. Using these data, what is your estimate of the population proportion of oil tankers that had spills? A. .646 B. .789 C. .197 D. .211 E. .803 3. If a sample of 700 is selected construct the 90% confidence interval for the population proportion of oil tankers that have spills if 148 in this sample had spills. A. .1245 to .2983 B. .1860 to .2368 C. .1703 to .5383 D. .1145 to .3083 E. .7197 to .8083 4. The oil companies disagree with the environmentalist. They claim that the fraction of oil tankers that have spills each month is not equal to .18. Suppose in a sample of 700 tankers 148 had spills. What is the calculated value of the test statistic to test the claim of the oil companies? A. 1.084 B. 2.164 C. 1.3654 D. 0.3571 E. 0.18
5. What is the critical (table) value at the 0.1 level of significance to test the claim of the oil companies? A. 1.645 B. 2.58 C. 1.96 D. 1.28 E. 2.33 6. What is your conclusion for this test at the 0.1 level of significance, assuming the calculated value of the test statistic is 2.04. A. There is insufficient evidence to conclude that the claim of the oil companies is correct because Ho is rejected. B.

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## f98exm2b - COURSE: MSCI 3710 EXAM 2 Version B SEMESTER:...

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