Assume that you have a sample of n1=8, with the sample mean X1=45, and a sample standard deviation of S1=4, and you have an independent sample of n2=13 from another population with a sample mean of X2=37 and the sample standard deviation S2=6. Complete parts(a) through(d) below.

a. What is the value of thepooled-variance tSTAT test statistic for testing H0:1=2?

tSTAT=

nothing

(Round to two decimal places asneeded.)

b. In finding the criticalvalue, how many degrees of freedom arethere?

nothing

degrees of freedom

(Simplify youranswer.)

c. Using a significance level of =0.1, what is the critical value for aone-tail test of the hypothesis H0:12 against the alternative H1:1>2?

The critical value is

nothing

.

(Round to two decimal places asneeded.)

d. What is your statisticaldecision?

A.

Do not reject H0 because the computed tSTAT test statistic is greater than theupper-tail critical value.

B.

Reject H0 because the computed tSTAT test statistic is less than theupper-tail critical value.

C.

Reject H0 because the computed tSTAT test statistic is greater than theupper-tail critical value.