An experiment was conducted to determine whether giving candy to dining parties resulted in greater tips. The mean tip percentages and standard deviations are given in the accompanying table along with the sample sizes. Assume that the two samples are independent simple random samples selected from normally distributedpopulations, and do not assume that the population standard deviations are equal. Complete parts(a) and(b).

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Part 1

			n	x	s
No candy	1	28	18.33	1.58
Two candies	2	28	21.26	2.39

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Part 1

a. Use a

0.01

significance level to test the claim that giving candy does result in greater tips.

What are the null and alternativehypotheses?

A.

H0:

12

H1:

1<2

B.

H0:

1=2

H1:

1>2

C.

H0:

1=2

H1:

1<2

Your answer is correct.

D.

H0:

1=2

H1:

12

Part 2

The teststatistic, t, is

negative 5.415.41.

(Round to two decimal places asneeded.)

Part 3

TheP-value is

00.

(Round to three decimal places asneeded.)

Part 4

State the conclusion for the test.

A.

Reject

the null hypothesis. There

isnot

sufficient evidence to support the claim that giving candy does result in greater tips.

B.

Failtoreject

the null hypothesis. There

isnot

sufficient evidence to support the claim that giving candy does result in greater tips.

C.

Reject

the null hypothesis. There

is

sufficient evidence to support the claim that giving candy does result in greater tips.

Your answer is correct.

D.

Failtoreject

the null hypothesis. There

is

sufficient evidence to support the claim that giving candy does result in greater tips.

b. Construct the confidence interval suitable for testing the claim in part(a).