Q 10.11

Basic Skills a. Calculate the appropriate test statistic and interpret the 10.11 Consider the following hypothesis statement using result. a = 0.05 and data from two independent samples. As- b. Approximate the p-value using Table 5 in Appendix A sume the population variances are equal and the popula- and interpret the results. tions are normally distributed. c. Determine the precise p-value using Excel. d. Verify your results using PHStat. Ho: M1 - 12 = 0 H1: M - M2 * 0 1912 Consider the following hypothesis statement using x1 = 14.3 12 = 12.8 a = 8.05 and data from two independent samples. As- S1 = 2.7 $2 = 3.3 suthe the population variances are equal and the popula- nj = 20 n2 = 18 tions are normally distributed.10.25 The following two samples were collected as matched pairs: Pair 1 2 3 4 5 6 7 8 Sample 1 8 4 6 9 9 7 9 8 Sample 2 4 2 6 6 l 8 l 4 a. State the null and alternative hypotheses to test if the population represented by Sample I has a mean that is 2.0 units higher than the population represented by Sample 2. [1. Calculate the appropriate test statistic and interpret the results of the hypothesis test using at = 0.10. e. Approximate the p-value using Table 5 in Appendix A and interpret the result. 1!. Verify your results using Excel's Data Analysis. Mac users can rel}.r on PHStat for this procedure. e. Identify the p-value from Excel and interpret the result. 1'. What assumptions need to be made in order to perform this procedure? 10.35 Consider the following data from two independent sam- ples. Construct a 90% confidence interval to estimate the difference in population proportions. X] = 46 X2 = 48 1 = 90 112 = 80