SME_8e_Ch_13_Section_3

SME_8e_Ch_13_Section_3 - CHAPTER 13 SECTION 3 INFERENCE...

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1 CHAPTER 13 SECTION 3: INFERENCE ABOUT COMPARING TWO POPULATIONS MULTIPLE CHOICE 57. If some natural relationship exists between each pair of observations that provides a logical reason to compare the first observation of sample 1 with the first observation of sample 2, the second observation of sample 1 with the second observation of sample 2, and so on, the samples are referred to as: a. matched pairs. b. independent samples. c. nonrandom samples. d. None of these choices. ANS: A PTS: 1 REF: SECTION 13.3 58. The symbol x D refers to: a. the difference in the means of two independent populations. b. one matched pairs difference. c. the mean difference in the pairs of observations. d. None of these choices. ANS: C PTS: 1 REF: SECTION 13.3 59. The number of degrees of freedom associated with the t -test, when the data are gathered from a matched pairs experiment with 10 pairs, is: a. 10 b. 20 c. 9 d. 18 ANS: C PTS: 1 REF: SECTION 13.3 60. A test is being conducted to test the difference between two population means using data that are gathered from a matched pairs experiment. If the paired differences are normal, then the distribution used for testing is the: a. normal distribution. b. binomial distribution. c. Student t -distribution. d. F -distribution. ANS: C PTS: 1 REF: SECTION 13.3 61. In testing for a mean difference the null hypothesis is: a. H 0 : μ D = 0 b. H 0 : D < 0 c. H 0 : D 0 d. None of these choices. ANS: A PTS: 1 REF: SECTION 13.3

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2 TRUE/FALSE 62. Two measurements from the same individuals is an example of data collected from a matched pairs experiment. ANS: T PTS: 1 REF: SECTION 13.3 63. A statistics professor wanted to test whether the grades on statistics test were the same for upper and lower classmen. The professor took a random sample of size 12 from each group. For this situation, the professor should use a matched pairs t -test. ANS: F PTS: 1 REF: SECTION 13.3 64. A matched pairs experiment decreases variability (compared to two independent samples). ANS: T PTS: 1 REF: SECTION 13.3 65. In comparing the difference in means with a matched pairs experiment, the variable under consideration is x D , where the subscript D refers to the difference. ANS: T PTS: 1 REF: SECTION 13.3 66. The number of degrees of freedom associated with the t -test, when the data are gathered from a matched pairs experiment with 8 pairs, is 7. ANS: T PTS: 1 REF: SECTION 13.3 67. When comparing two population means using data that are gathered from a matched pairs experiment, the test statistic for μ D is Student t -distributed with v = n D - 1 degrees of freedom, provided that the differences are normally distributed. ANS: T
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This note was uploaded on 09/28/2010 for the course FINOPMGT 250 taught by Professor Kumar during the Spring '10 term at University of Massachusetts Boston.

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SME_8e_Ch_13_Section_3 - CHAPTER 13 SECTION 3 INFERENCE...

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