The data for a random sample of 8 paired PopulationPopulation D observations are shown in the table to the right. Pair 1 2 a. What are the appropriate null and alternative 1 31 32 hypotheses to test whether the mean for 2 58 63 population 2 is larger than that for population 1? 3 18 25 b. Conduct the test identified in part at using 4 21 24 or = 0.10. c. Find a 90% confidence interval for pd. interpret 5 26 27 , 6 51 57 this result. d. What assumptions are necessary to ensure the 7 27 29 8 32 38 validity of this analysis