Assume that both populations are normally distributed. a) Test whether mu 1 not equals mu 2 at the alpha equals 0.05 level of significance for the given sample data. b) Construct a 95% confidence interval about mu 1 minus mu 2.			Sample 1	Sample 2
n	13	13
x overbar	17.5	20
s	4	4.8

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Part 1

a) Perform a hypothesis test. Determine the null and alternative hypotheses.

A.

Upper H 0:

mu 1 equals mu 2,

Upper H 1:

mu 1 less than mu 2

B.

Upper H 0:

mu 1 equals mu 2,

Upper H 1:

mu 1 greater than mu 2

C.

Upper H 0:

mu 1 not equals mu 2,

Upper H 1:

mu 1 equals mu 2

D.

Upper H 0:

mu 1 equals mu 2,

Upper H 1:

mu 1 not equals mu 2

Your answer is correct.

Part 2

Determine the test statistic.

tequalsnegative 1.44

(Round to two decimal places as needed.)

Part 3

Determine the critical value(s). Select the correct choice below and fill in the answer box(es) within your choice.

(Round to three decimal places as needed.)

A.

The critical value is

enter your response here.

B.

The lower critical value is

enter your response here.

The upper critical value is

enter your response here.