Please see attachment

In order to compare the means of two populations, independent random samples of 411411 observations are selected from each population, with the following results:

Sample 1	Sample 2
x1=5378	x2=5013
s1=115	s2=120

a) Use a 99%99% confidence interval to estimate the difference between the population means (?1??2).

Test the null hypothesis: H0:(?1??2)=0 versus the alternative hypothesis: Ha:(?1??2)?0. Using ?=0.01, give the following: (i) the test statistic z =

(ii) the positive critical z score =

(iii) the negative critical z score =

The final conclustion is:- (Pick one)

A. We can reject the null hypothesis that (?1??2)=0 and accept that (?1??2)?0. B. There is not sufficient evidence to reject the null hypothesis that (?1??2)=0.

Test the null hypothesis: H0:(?1??2)=26 versus the alternative hypothesis: Ha:(?1??2)?26. Using ?=0.01, give the following:

(i) the test statistic z=

(ii) the positive critical z score =

(iii) the negative critical z score =

The final conclustion is A. We can reject the null hypothesis that (?1??2)=26(?1??2)=26 and accept that (?1??2)?26(?1??2)?26. B. There is not sufficient evidence to reject the null hypothesis that (?1??2)=26(?1??2)=26.

(1 point) In order to compare the means of two populations, independent random samples of 411 observations are selected from each population, with the following results: Sample 1 Sample 2 x1 = 5378 x2 = 5013 $1 = 115 $2 = 120 Use a 99% confidence interval to estimate the difference between the population means (u1 - /2). 5 (1 1 - 12 ) S Test the null hypothesis: Ho : (M1 - M2) = 0 versus the alternative hypothesis: Ha : (u1 - M2) # 0. Using a = 0.01, give the following: i) the test statistic z = (ii) the positive critical z score = (iii) the negative critical z score = The final conclustion is A. We can reject the null hypothesis that (u1 - M2) = 0 and accept that (#1 - /2) # 0. B. There is not sufficient evidence to reject the null hypothesis that (u1 - (2) = 0. Test the null hypothesis: Ho : (M1 - M2) = 26 versus the alternative hypothesis: Ha : (u1 - M2) # 26. Using a = 0.01 , give the following: (1) the test statistic z = (i) the positive critical z score = (iii) the negative critical z score = The final conclustion is A. We can reject the null hypothesis that (#1 - M2) = 26 and accept that (u1 - /2) # 26. B. There is not sufficient evidence to reject the null hypothesis that (u1 - /2) = 26