Statistics Homework Solutions 163

Statistics Homework Solutions 163 - 163 SUPPLEMENTARY...

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SUPPLEMENTARY EXERCISES FOR CHAPTER 6 163 Supplementary Exercises for Chapter 6 1. This requires a test for the difference between two means. The data are unpaired. Let μ 1 represent the pop- ulation mean annual cost for cars using regular fuel, and let μ 2 represent the population mean annual cost for cars using premium fuel. Then the appropriate null and alternate hypotheses are H 0 : μ 1 μ 2 0 versus H 1 : μ 1 μ 2 0. The test statistic is the difference between the sample mean costs between the two groups. The z table should be used to find the P -value. 3. This requires a test for a population proportion. Let p represent the population proportion of defective parts under the new program. The appropriate null and alternate hypotheses are H 0 : p 0 10 versus H 1 : p 0 10. The test statistic is the sample proportion of defective parts. The z table should be used to find the P -value. 5. (a) H 0 : μ 16 versus H 1 : μ 16 (b) X 15 887, s 0 13047, n 10. There are 10 1 9 degrees of freedom. The null and alternate hypotheses are H 0 : μ 16 versus H 1 : μ 16. t 15 887 16 0 13047 10 2 739. (c) Since the alternate hypothesis is of the form
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