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Exam: 250713RR - Sampling Distributions and Estimation; Hypothesis Testing

This solved exam covers sampling distributions, estimation methods, and hypothesis testing.

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    Student ID: 22039100 Exam: 250713RR - Sampling Distributions and Estimation; Hypothesis Testing When you have completed your exam and reviewed your answers, click Submit Exam . Answers will not be recorded until you hit Submit Exam . If you need to exit before completing the exam, click Cancel Exam . Questions 1 to 20: Select the best answer to each question. Note that a question and its answers may be split across a page break, so be sure that you have seen the entire question and all the answers before choosing an answer. 1. What is the rejection region for a two - tailed test when α = 0.05? A. z > 2.575 B. | z | > 1.96 C. | z | > 1.645 D. | z | > 2.575 2. A human resources manager wants to determine a confidence interval estimate for the mean test score for the next office - skills test to be given to a group of job applicants. In the past, the test scores have been normally distributed with a mean of 74.2 and a standard deviation of 30.9. Determine a 95% confidence interval estimate if there are 30 applicants in the group. A. 63.14 to 85.26 B. 64.92 to 83.48 C. 13.64 to 134.76 D. 68.72 to 79.68 3. Which of the following statements about hypothesis testing is false? A. The test will never confirm the null hypothesis, only fail to reject the null hypothesis. B. In both the one - tailed and two - tailed tests, the rejection region is one contiguous interval on the number line. C. A Type I error is the chance that the researcher rejects the null hypothesis when in fact the null hypothesis is true. D. The rejection region is always given in units of standard deviations from the mean. 4. If the level of significance ( α ) is 0.005 in a two - tail test, how large is the nonrejection region under the curve of the t distribution? A. 0.9975 B. 0.995 C. 0.050 D. 0.005 5. A mortgage broker is offering home mortgages at a rate of 9.5%, but the broker is fearful that this value is higher than many others are charging. A sample of 40 mortgages filed in the county courthouse shows an average of 9.25% with a standard deviation of 8.61%. Does this sample indicate a smaller average? Use α = 0.05 and assume a normally distributed population. A. No, because the test statistic falls in the acceptance region.

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