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=12 n2=14

x1=577 x2=591

s1=27.5 s2=26.8

a. Assuming that the populations are normally distributed with equalvariances, test at the 0.05 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 answerbox(es) to complete choice.

(Round to two decimal places asneeded.)

A.

tt/2=_______

1.711

B.

t>t=

C.

t

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