(1 point) In order to compare the means of two populations, independent random samples of 271…

(1 point) In order to compare the means of two populations, independent random samples of 271 observations are selected from each population, with the following results: Sample 1 Sample 2 1145 2 120 (a) Use a 99 % confidence interval to estimate the difference between the population means (A-μ). (b) Test the null hypothesis: HO : (μί-12-0 versus the alternative hypothesis. Ha : (μ-μ2)メ (i) the test statistic z () the positive critical z score (ii) the negative critical z score The final conclusion is O We can reject the null hypothesis al-μ2)-0 in favor ofthe alternative (μι-μ) 0 Using α-0.01, give the following: O There is not sufficient evidence to reject the null hypothesis (μ1-49)-0. (c) Test the null hypothesis: Ho : (μί-μ) = 22 versus the alternative hypothesis: Ha : (μι-μ2)メ22 Using a = 0.01 give the following: (i) the test statistic z = (i) the positive critical z score (ii) the negative critical z score The final conclusion is O We can reject the null hypothesis (μι-μ2)-22 in favor of the alternative (μ1-μ2) 22 O There is not sufficient evidence to reject the null hypothesis (14-12)-22.