大学课件-商务与经济统计习题答案第8版中文版.doc
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1、Statistical Inference about Means and Proportions with Two PopulationsChapter 10Statistical Inference about Means and Proportions with Two PopulationsLearning Objectives1.Be able to develop interval estimates and conduct hypothesis tests about the difference between the means of two populations.2.Kn
2、ow the properties of the sampling distribution of the difference between two means.3.Be able to use the t distribution to conduct statistical inferences about the difference between the means of two normal populations with equal variances.4.Understand the concept and use of a pooled variance estimat
3、e.5.Learn how to analyze the difference between the means of two populations when the samples are independent and when the samples are matched.6.Be able to develop interval estimates and conduct hypothesis tests about the difference between the proportions of two populations.7.Know the properties of
4、 the sampling distribution of the difference between two proportions .Solutions:1.a. = 13.6 - 11.6 = 2b.2 1.645 (.595)2 .98(1.02 to 2.98)c.2 1.96 (.595)2 1.17(0.83 to 3.17)2.a. = 22.5 - 20.1 = 2.4b.c.16 degrees of freedom, t.025 = 2.122.4 2.12 (1.09)2.4 2.31(.09 to 4.71)3.a.b.c. = 9 - 7 = 2d.e. With
5、 10 degrees of freedom, t.025 = 2.2282 2.228 (1.07)2 2.37(-0.37 to 4.37)4.a.= 1.58 - 0.98 = $0.60b. z.025 .60 1.96(.021).60 .04 (.56 to .64)5.a.22.5 - 18.6 = 3.9 miles per dayb. za/2 22.5 - 18.6 1.96 (1.58)3.9 3.1 or 0.6 to 7.06.LAMiami6.726.34s2.3742.1636.72 - 6.34 1.96 (.454).38 .89 or -.51 to 1.2
6、77.a.= 14.9 - 10.3 = 4.6 yearsb.z.025 = 1.96(.66) = 1.3c. z.025 4.6 1.3 (3.3 to 5.9) 8.a. = 15,700 - 14,500 = 1,200b.Pooled varianceWith 18 degrees of freedom t.025 = 2.1011200 2.101 (362.88)1200 762(438 to 1962)c.Populations are normally distributed with equal variances.9.a. n1 = 10n2 = 8= 21.2= 22
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