1-20chapter stats

# Assume that the samples are obtained from normally

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Unformatted text preview: gned to reduce cholesterol levels, 9 heart patients' cholesterol levels are measured before they are given the drug. The same 9 patients use XZR for two continuous months. After two months of continuous use, the 9 patients' cholesterol levels are measured again. The comparison of cholesterol levels before vs. after the administration of the drug is an example of testing the difference between two ____________ A. samples of equal variances B. independent samples C. paired samples D. samples of unequal variances 55. In general, the shape of the F distribution is _________. A. skewed right B. skewed left C. normal D. binomial 1-831 Chapter 01 - An Introduction to Business Statistics 56. In testing the difference between the means of two independent populations, the variances of the two samples can be pooled if the population variances are assumed to be ____________. A. Unequal B. Greater than the mean C. Sum to 1 D. Equal 57. In testing the difference between two independent population means if the variances of the two populations are not equal the critical value of the t statistic is obtained by calculating ___________________. A. degrees of freedom B. the sum of the two sample sizes (n1 + n2) C. p-value D. pooled variance 58. In testing the difference between two independent population means, it is assumed that the level of measurement is at least ______________. A. a ratio variable B. a qualitative variable C. an interval variable D. a categorical variable 59. In comparing the difference between two independent population means, by using two small independent samples, the sampling distributions of the population means are at least approximately ________________. A. skewed right B. skewed left C. normal D. binomial 1-832 Chapter 01 - An Introduction to Business Statistics 60. The test of means for two related populations match the observations (matched pairs) in order to reduce the ________________ attributable to the difference between individual observations and other factors. A. means B. test statistic C. degrees of freedom D. variation 61. If we are testing the hypothesis about the mean of a population of paired differences with samples of n1 = 10, n2 = 10, the degrees of freedom for the t statistic is ____. A. 20 B. 9 C. 18 D. 10 62. Parameters of the F distribution include: A. n1 B. degrees of freedom C. n2 D. A and C E. None of the above 63. In testing the equality of population variance, what assumption(s) should be considered? A. Independent samples B. Equal sample sizes C. Normal distribution of the populations D. A and B E. A and C 64. When testing H0: σ12 ≤ σ22 HA: σ12> σ22 where s12 = .004, s22 = .002, n1 = 4, n2 = 7 at α = . 05, what is the decision on H0? A. Reject the null hypothesis B. Do not reject the null hypothesis 1-833 Chapter 01 - An Introduction to Business Statistics 65. When testing H0: σ12 ≤ σ22 HA: σ12> σ22 where s12 = .004, s22 = .002, n1 = 4, n2 = 7 at α = . 05, what critical value do we use? A. 1.833 B. 1.796 C. 4.12 D. 4.76 66. What is the value of the computed F-statistic for testing equality of population variances where s12 = .004, s22 = .002? Consider HA: σ12> σ22. A. 1 B. 0.001 C. 0.05 D. 2 67. Construct a 95 percent confidence interval for µ1- µ2, where s1 = 9, s2= 6, n1 = 10, n2 = 16. (Assume equal population variance) A. (1.59 14.23) B. (2.10 13.72) C. (1.86 13.96) D. (1.88 13.94) 68. When testing H0: µ1 - µ2 = 2, HA: µ1 - µ2> 2, where 24, n1= 40, n2 = 30, at α = .01, what can we conclude? A. Fail to reject H0 B. Reject H0 69. When testing H0: µ1 - µ2 = 2, HA: µ1 - µ2> 2, where = 24, n1= 40, n2 = 30, at α = .01, what is the test statistic? A. 4.91 B. 2.33 C. 3.27 D. 2.67 1-834 1 = 522, 1 = 522, 1 = 34.36, 2 2 = 26.45, = 516, σ12 = 28, σ22 = 2 = 516, σ12 = 28, σ22 Chapter 01 - An Introduction to Business Statistics 70. When we test H0: µ1 ≤ µ2, HA: µ1 > µ2at α = .10, where 3.3, s2 = 2.1, n1 = 6, n2= 6, we can reject the null hypothesis. A. True B. False 71. When we test H0: µ1 ≤ µ2, HA: µ1 > µ2at α = .10, where s2 = 2.1, n1 = 6, n2= 6, what is the estimated pooled variance? A. 2.77 B. 6.38 C. 2.52 D. 7.65 1 = 77.4, 2 = 72.2, s1 = 1 = 77.4, 2 = 72.2, s1 = 3.3, 72. What is the value of the F-statistic for H0: σ12 ≤ σ12, HA: σ12> σ12, where s1= 3.3, and s2 = 2.1. A. 2.47 B. 1.57 C. 6.48 D. 6.10 73. When we test H0: p1 - p2 ≤ .01, HA: p1 - p2 > .01 at α = .05 where n1= 200, n2 = 400, we can reject the null hypothesis. A. True B. False 1 = .08, 2 = .035, 74. When we test H0: p1- p2 ≤ .01, HA: p1 - p2 > .01 at α = .05 where 1 = .08, 2 = .035, n1= 200, n2 = 400, what is the standard deviation used in the calculation of the test statistic? A. 0.0005 B. 0.3277 C. 0.0213 D. 0.0134 1-835 Chapter 01 - An Introduction to Business Statistics 75. Testing H0: σ12= σ12, HA: σ12> σ22 at α = .01 where n1 = 5, n2= 6, s12 = 15750, s22 = 10920 we conclude that we cannot reject the null hypothesis. A. True B. False 76. When testing H0: σ12= σ12, HA: σ12> σ22 at α = .01...
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