PQs-Ch9-2022F

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El Camino Community College District *

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MAT232

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Electrical Engineering

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Feb 20, 2024

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pdf

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Practice-Questions-Ch9 5 Questions 12. Consider the following hypothesis test: Hy =80 H;:pn <80 A sample of 100 is used and the population standard deviation is 12, Compute the p-value and state your conclusion for each of the following sample results. Use a = .01. a. x=1785 b. x=177 C X =755 d Xx=8I 13. Consider the following hypothesis test: Hy =50 H: > 50 A sample of 60 is used and the population standard deviation is 8. Use the critical value approach to state your conclusion for each of the following sample results. Use a = .05. a. X=2352.5 b. x=5I c. x=518 15. Individuals filing federal income tax returns prior to March 31 received an average refund of $1056. Consider the population of “last-minute™ filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). a. A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appro- priate hypotheses such that rejection of H, will support the researcher’s contention. b. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience a population standard devia- tion of o = $1600 may be assumed. What is the p-value? c. Ata = .05, what is your conclusion? d. Repeat the preceding hypothesis test using the critical value approach. 16. In a study entitled How Undergraduate Students Use Credit Cards, it was reported that undergraduate students have a mean credit card balance of $3173. This figure was an all-time high and had increased 44% over the previous five years. Assume that a current study is being conducted to determine if it can be concluded that the mean credit card bal- ance for undergraduate students has continued to increase compared to the original report. Based on previous studies, use a population standard deviation o = $1000. a. State the null and alternative hypotheses. b. What is the p-value for a sample of 180 undergraduate students with a sample mean credit card balance of $3325? c. Using a .05 level of significance, what is your conclusion?

20. Annual expenditure for prescription drugs was $838 per person in the Northeast of the country (Hospital Care Cost Institute website, November 7, 2012). A sample of 60 indi- viduals in the Midwest showed a per person annual expenditure for prescription drugs of $745. Use a population standard deviation of $300 to answer the following questions. a. Formulate hypotheses for a test to determine whether the sample data support the conclusion that the population annual expenditure for prescription drugs per person is lower in the Midwest than in the Northeast. b. What is the value of the test statistic? ¢. What is the p-value? d. Ata = .01, what is your conclusion?

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