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In: Statistics and Probability

1) In order to compare the means of two populations, random samples of 105 observations are...

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.

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