Assume that you have a sample of

n1=8,

with the sample mean

X1=45,

and a sample standard deviation of

S1=7,

and you have an independent sample of

n2=13

from another population with a sample mean of

X2=32

and the sample standard deviation

S2=5.

Complete parts (a) through (d).

Part 1

a. What is the value of the pooled-variance

tSTAT

test statistic for testing

H0:1=2?

tSTAT=?

(Type an integer or a decimal rounded to four decimal places as needed.)

Part 2

b. In finding the critical value

t/2,

how many degrees of freedom are there?

degrees of freedom =

Part 3

c. Using a significance level of

=0.005,

what is the critical value for a one-tail test of the hypothesis

H0:12

against the alternative H1:1>2?

The critical value is ?

(Type an integer or a decimal rounded to four decimal places as needed.)

Part 4

d. What is THE statistical decision?

A.

Do not reject

H0

because the computed

tSTAT

test statistic is greater than the upper-tail critical value.

B.

Do not reject

H0

because the computed

tSTAT

test statistic is less than the upper-tail critical value.

C.

Reject

H0

because the computed

tSTAT

test statistic is less than the upper-tail critical value.

D.

Reject

H0

because the computed

tSTAT

test statistic is greater than the upper-tail critical value.