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STATISTICAL INFERENCE ABOUT MEANS AND PROPORTIONS

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MULTIPLE CHOICE QUESTIONS In the following multiple choice questions, circle the correct answer. 1. If we are interested in testing whether the proportion of items in population 1 is larger than the proportion of item ...

MULTIPLE CHOICE QUESTIONS In the following multiple choice questions, circle the correct answer. 1. If we are interested in testing whether the proportion of items in population 1 is larger than the proportion of items in population 2, the a. null hypothesis should state P1 - P2 < 0 b. null hypothesis should state P1 - P2  0 c. alternative hypothesis should state P1 - P2  0 d. alternative hypothesis should state P1 - P2  0 Answer: c 2. The sampling distribution of 1 2 p  p is approximated by a a. normal distribution b. t-distribution with n1 + n2 degrees of freedom c. t-distribution with n1 + n2 – 1 degrees of freedom d. t-distribution with n1 + n2 + 2 degrees of freedom Answer: a 3. When developing an interval estimate for the difference between two sample means, with sample sizes of n1 and n2, a. n1 must be equal to n2 b. n1 must be smaller than n2 c. n1 must be larger than n2 d. n1 and n2 can be of different sizes Answer: d 4. To construct an interval estimate for the difference between the means of two populations when the standard deviations of the two populations are unknown, we must use a t distribution with (let n1 be the size of sample 1 and n2 the size of sample 2) a. (n1 + n2) degrees of freedom b. (n1 + n2 - 1) degrees of freedom c. (n1 + n2 - 2) degrees of freedom d. n1 - n2 + 2 Answer: c 5. 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 2 Chapter Ten b. matched samples c. independent samples d. None of these alternatives is correct. Answer: b 6. Independent simple random samples are taken to test the difference between the means of two populations whose variances are not known. The sample sizes are n1 = 32 and n2 = 40. The correct distribution to use is the a. binomial distribution b. t distribution with 72 degrees of freedom c. t distribution with 71 degrees of freedom d. t distribution with 70 degrees of freedom Answer: d 7. Independent simple random samples are taken to test the difference between the means of two populations whose standard deviations are not known. The sample sizes are n1 = 25 and n2 = 35. The correct distribution to use is the a. Poisson distribution b. t distribution with 60 degrees of freedom c. t distribution with 59 degrees of freedom d. t distribution with 58 degrees of freedom

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