Question

Assume that you have a sample of n 1 equals n1=9​, with the sample mean Upper X overbar 1 equals X1=50​, and a sample standard deviation of Upper S 1 equals 5 comma S1=5, and you have an independent sample of n 2 equals n2=17 from another population with a sample mean of Upper X overbar 2 equals X2=39

and the sample standard deviation Upper S2=6.

Complete parts​ (a) through​ (d).

a. What is the value of the​ pooled-variance tSTAT test statistic for testing Upper H 0 : mu 1 equals mu 2H0: μ1=μ2​?

b. In finding the critical value t alpha divided by 2tα/2​, how many degrees of freedom are​ there?

c.

Using a significance level of α=0.25 what is the critical value for a​ one-tail test of the hypothesis Upper H 0 : mu 1 less than or equals mu 2H0: μ1≤ μ2 against the alternative Upper H 1 : mu 1 greater than mu 2 question markH1: μ1>μ2?

Answer 1