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**Unformatted text preview: **CHAPTER 10COMPARISONS INVOLVING MEANS, EXPERIMENTAL DESIGN AND ANALYSIS OF VARIANCE MULTIPLE CHOICE 1. If we are interested in testing whether the mean of population 1 is significantly larger than the mean of population 2, the a. null hypothesis should state μ 1- μ 2 > 0 b. null hypothesis should state μ 1- μ 2 c. alternative hypothesis should state μ 1- μ 2 > 0 d. alternative hypothesis should state μ 1- μ 2 < 0 ANS: C PTS: 1 TOP: Hypothesis Testing 2. If we are interested in testing whether the mean of population 1 is significantly smaller than the mean of population 2, the a. null hypothesis should state μ 1- μ 2 < 0 b. null hypothesis should state μ 1- μ 2 c. alternative hypothesis should state μ 1- μ 2 < 0 d. alternative hypothesis should state μ 1- μ 2 > 0 ANS: C PTS: 1 TOP: Hypothesis Testing 3. If we are interested in testing whether the mean of population 1 is significantly different from the mean of population 2, the a. null hypothesis should state μ 1- μ 2 = 0 b. null hypothesis should state μ 1- μ 2 c. alternative hypothesis should state μ 1- μ 2 > 0 d. alternative hypothesis should state μ 1- μ 2 < 0 ANS: A PTS: 1 TOP: Hypothesis Testing 4. To compute an interval estimate for the difference between the means of two populations, the t distri- bution a. is restricted to small sample situations b. is not restricted to small sample situations c. can be applied when the populations have equal means d. None of these alternatives is correct. ANS: B PTS: 1 TOP: Interval Estimation 5. When developing an interval estimate for the difference between two sample means, with sample sizes of n 1 and n 2 , a. n 1 must be equal to n 2 b. n 1 must be smaller than n 2 c. n 1 must be larger than n 2 d. n 1 and n 2 can be of different sizes, ANS: D PTS: 1 TOP: Interval Estimation 6. To construct an interval estimate for the difference between the means of two populations when the standard deviations of the two populations are unknown and it can be assumed the two populations have equal variances, we must use a t distribution with (let n 1 be the size of sample 1 and n 2 the size of sample 2) a. (n 1 + n 2 ) degrees of freedom b. (n 1 + n 2- 1) degrees of freedom c. (n 1 + n 2- 2) degrees of freedom d. n 1- n 2 + 2 ANS: C PTS: 1 TOP: Interval Estimation 7. When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as a. corresponding samples b. matched samples c. independent samples d. None of these alternatives is correct. ANS: B PTS: 1 TOP: Matched Samples 8. Independent simple random samples are taken to test the difference between the means of two popula- tions whose variances are not known, but are assumed to be equal. The sample sizes are n 1 = 32 and n 2 = 40. The correct distribution to use is the a. t distribution with 73 degrees of freedom b. t distribution with 72 degrees of freedom c. t distribution with 71 degrees of freedom d. t distribution with 70 degrees of freedom...

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