Question: You are given the null and alternative hypotheses H0: 12 and HA: 1 <2 together with the sample information to the right. Complete parts a

You are given the null and alternative hypotheses

H0:

12

and

HA:

1<2

together with the sample information to the right. Complete parts a and b below.

Sample 1

Sample 2

n1=16

n2=19

x1=553

x2=564

s1=27.4

s2=25.3

a. Assuming that the populations are normally distributed with equal variances, test at the

0.10

level of significance whether to reject the null hypothesis based on the sample information. Use the test statistic approach.

Construct the rejection region. Select the correct choice below and fill in the answer box(es) to complete your choice.

(Round to two decimal places as needed.)

A.

t

or

t>t/2=enter your response here

B.

t

C.

t>t=enter your response here

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