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Confidence Intervals and Hypothesis Testing MCQs and Short Answer Questions

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Question;Name: ________________________ Class: ___________________ Date: __________ ID: A1Confidence Intervals and Hypothesis TestingMultiple ChoiceIdentify the choice that best completes the statement or answers the question.____ 1. The librarian at the Library of Congress has asked her assistant for an interval estimate of the mean numberof books checked out each day. The assistant took a sample and found the mean to be 880 books. Sheprovides the librarian with an interval estimate of between 790 and 970 books checked out per day. Anefficient, unbiased point estimate of the number of books checked out each day at the Library of Congress is:a. 790b. 880c. 90d. None of these choices.____ 2. After constructing a confidence interval estimate for a population mean, you believe that the interval isuseless because it is too wide. In order to correct this problem, you need to:a. increase the population standard deviation.b. increase the sample size.c. increase the level of confidence.d. increase the sample mean.____ 3. Suppose an interval estimate for the population mean was 62.84 to 69.46. The population standard deviationwas assumed to be 6.50, and a sample of 100 observations was used. The mean of the sample was:a. 56.34b. 62.96c. 6.62d. 66.15____ 4. The sample size needed to estimate a population mean within 2 units with a 95% confidence when thepopulation standard deviation equals 8 isa. 61b. 62c. 8d. None of these choices.____ 5. A Type I error is committed if we make:a. a correct decision when the null hypothesis is false.b. a correct decision when the null hypothesis is true.c. an incorrect decision when the null hypothesis is false.d. an incorrect decision when the null hypothesis is true.____ 6. The hypothesis of most interest to the researcher is:a. the alternative hypothesis.b. the null hypothesis.c. both hypotheses are of equal interest.d. Neither hypothesis is of interest.Name: ________________________ ID: A2____ 7. A Type II error is defined as:a. rejecting a true null hypothesis.b. rejecting a false null hypothesis.c. not rejecting a true null hypothesis.d. not rejecting a false null hypothesis.____ 8. Which of the following statements is not true?a. The probability of making a Type II error increases as the probability of making a Type Ierror decreases.b. The probability of making a Type II error and the level of significance are the same.c. The power of the test decreases as the level of significance decreases.d. All of these choices are true.____ 9. Researchers claim that 60 tissues is the average number of tissues a person uses during the course of a cold.The company who makes Kleenex brand tissues thinks that fewer of their tissues are needed. What are theirnull and alternative hypotheses?a. H0:? = 60 vs. H1:? > 60b. H0:? = 60 vs. H1:? < 60c. H0: X = 60 vs. H1: X < 60d. H0:? < 60 vs. H1:? = 60____ 10. In testing the hypotheses H0:? = 50 vs. H1:? ? 50, the following information is known: n = 64, x = 53.5, ands = 10. The standardized test statistic z equals:a. 1.96b.?2.80c. 2.80d.?1.96____ 11. If a hypothesis is not rejected at the 0.10 level of significance, it:a. must be rejected at the 0.05 level.b. may be rejected at the 0.05 level.c. will not be rejected at the 0.05 level.d. must be rejected at the 0.025 level.____ 12. In testing the hypotheses H0:? = 75 vs. H1:? < 75, if the value of the test statistic z equals?2.42, then thep-value is:a. 0.5078b. 2.4200c. 0.9922d. 0.0078____ 13. For a two-tail test, the null hypothesis will be rejected at the 0.05 level of significance if the value of thestandardized test statistic z is:a. smaller than 1.96 or greater than?1.96b. greater than?1.96 or smaller than 1.96c. smaller than?1.96 or greater than 1.96d. greater than 1.645 or less than?1.645Name: ________________________ ID: A3____ 14. If a hypothesis is rejected at the 0.025 level of significance, it:a. must be rejected at any level.b. must be rejected at the 0.01 level.c. must not be rejected at the 0.01 level.d. may or may not be rejected at the 0.01 level.____ 15. Which of the following p-values will lead us to reject the null hypothesis if the level of significance equals0.05?a. 0.150b. 0.100c. 0.051d. 0.025____ 16. Suppose that we reject a null hypothesis at the 0.05 level of significance. Then for which of the followinga-values do we also reject the null hypothesis?a. 0.06b. 0.04c. 0.03d. 0.02____ 17. Suppose that in a certain hypothesis test the null hypothesis is rejected at the.10 level, it is also rejected atthe.05 level, however it cannot be rejected at the.01 level. The most accurate statement that can be madeabout the p-value for this test is that:a. p-value = 0.01.b. p-value = 0.10.c. 0.01 < p-value < 0.05.d. 0.05 < p-value 1.65d. z < 2.33Name: ________________________ ID: A4____ 21. The owner of a local nightclub has recently surveyed a random sample of n = 300 customers of the club. Shewould now like to determine whether or not the mean age of her customers is over 35. If so, she plans to alterthe entertainment to appeal to an older crowd. If not, no entertainment changes will be made. Suppose shefound that the sample mean was 35.5 years and the population standard deviation was 5 years. What is thep-value associated with the test statistic?a. 0.9582b. 1.7300c. 0.0418d. 0.0836____ 22. If the probability of committing a Type I error for a given test is decreased, then for a fixed sample size n, theprobability of committing a Type II error will:a. decrease.b. increase.c. stay the same.d. Not enough information to tell.____ 23. The power of a test is denoted by:a. ab. bc. 1? ad. 1? b____ 24. For a given sample size n, if the level of significance a is decreased, the power of the test will:a. increase.b. decrease.c. remain the same.d. Not enough information to tell.____ 25. Researchers determined that 60 Kleenex tissues is the average number of tissues used during a cold. Supposea random sample of 100 Kleenex users yielded the following data on the number of tissues used during acold: x = 52 and s = 22. Suppose the alternative we wanted to test was H1:? 1.6604.b. reject H0 if t 1.9842 or Z

 

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