1-For the given data find the test statistic,(a)find the standard test statistic.(b) find the standard test statistic(C)Decide weather the standard test statistic is the rejection region.(D) Decide weather you should reject or fail to reject the null hypothesis. The sample are random and independent. Claim u1

Q2-Use the t distribution table and find the critical values for the indicated alternative hypotheses, level of signifacance,a(standard deviation) and sample sizes n1 and n2.Assume that the sample are independent, normal and random answer part a and b. Ha:u1>U2, a=0.05, n1=17,n2=8

(a) find the critical value assuming that the population variance is equal.

(b) Find the critical value assuming that the population variance is not equal.

Q3_ Use t distribution table to find the critical values for the indicated alternative hypotheses level of significance ,(a)Standard deviation and sample size n1 and n2.Assume that the samples are independent, normal and random, Answer part a and b

Ha:u not equal toU2,a=0.02 n1=15,n2=8

(a) find the critical value assuming that the population variance are equal.

(b)find the critical values assuming that the population variance are not equal .

Q4 Use t distribution table to find the critical value(s) for the indicated alternative hypotheses level of significance (a)meaning standard deviation and sample size n1 and n2.Assume that the samples are independent,normal and random, Answer part a and b

Ha u1

(a) find the critical value(s) assuming the population variance are equal.

(b)find the critical values assuming that the population variances are not equal .