The following table shows the weights (in pounds) and the number of hours slept in a day by a random sample of infants. Test the claim that

M0.

Use

=0.1.

Then interpret the results in the context of the problem. If convenient, use technology to solve the problem.

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Weight, x	8.2	10.1	9.8	7.2	6.9	11.2	11.1	15.1
Hours slept, y	14.8	14.6	14.2	14.2	13.9	13.2	13.9	12.4

Question content area bottom

Part 1

Identify the null and alternative hypotheses.

A.

H0:

M0

HA:

M=0

B.

H0:

M0

HA:

M0

C.

H0:

M=0

HA:

M0

D.

H0:

M0

HA:

M0

Part 2

Calculate the test statistic.

t=enter your response here

(Round to three decimal places as needed.)

Part 3

Calculate the P-value

P=enter your response here

(Round to four decimal places as needed.)

Part 4

State the conclusion.

Reject

Fail to reject

H0.

There is

insufficient

sufficient

evidence at the

10%

level of significance to support the claim that there is a linear relationship between weight and number of hours slept.