In: Statistics and Probability
1) In order to compare the means of two populations, random samples of 105 observations are selected from each population with the following results: Sample 1 Sample 2 x1 = 258 x2 = 281 s1 = 17.2 s2 = 21.2
Test the null hypothesis H0: (μ1 - μ2 ) = 0 against the alternative hypothesis H1: (μ1 - μ2 ) ≠ 0 using α = .1 Use the testing method of your choice. Indicate what operation that you ran in your calculator as well as your conclusions and reasons for them
2) A) Construct a 90% confidence interval for (p1 - p2 ) when n1 = 300, n2 = 350, 1 p ˆ = .32, and 2 p ˆ =.43. If you use a calculator function, list that function, and list the inputs that you used for it.
B) Use the confidence interval to test for a difference in proportions at a .1 level of significance.