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# ExamDS - 224 Confidence Interval Estimation CHAPTER 8...

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DS 300 Sample Final Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1)Since a __________ is not a randomly selected probability sample, there is no way to know how well it represents the overall population. A)convenience sample B)stratified sample C)simple random sample D)cluster sample 1) 2)It is desired to estimate the average total compensation of CEOs in the Service industry. Data were randomly collected from 18 CEOs and the 97% confidence interval was calculated to be (\$2,181,260, \$5,836,180). Based on the interval above, do you believe the average total compensation of CEOs in the Service industry is more than \$3,000,000? 2) 3)A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. If the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many students would need to be sampled? 3) 4)Suppose a 95% confidence interval for μ turns out to be (1,000, 2,100). To make more useful inferences from the data, it is desired to reduce the width of the confidence interval. Which of the following will result in a reduced interval width? 4) 5)If, as a result of a hypothesis test, we reject the null hypothesis when it is false, then we have committed A)a Type II error. B)a Type I error. C)an acceptance error. D)no error. 5) 6)A __________ is a numerical quantity computed from the data of a sample and is used in reaching a decision on whether or not to reject the null hypothesis. 6) 1

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TABLE 9 - 3 An appliance manufacturer claims to have developed a compact microwave oven that consumes an average of no more than 250 W. From previous studies, it is believed that power consumption for microwave ovens is normally distributed with a standard deviation of 15 W. A consumer group has decided to try to discover if the claim appears true. They take a sample of 20 microwave ovens and find that they consume an average of 257.3 W.
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