Weight loss: In a study to determine whether counseling could help people lose weight, a sample of people experienced a group-based behavioral intervention, which involved weekly meetings with a trained interventionist for a period of six months. The following data are the numbers of pounds lost for

14

people. Assume the population is approximately normal. Perform a hypothesis test to determine whether the mean weight loss is greater than

12

pounds. Use the

=0.01

level of significance and the

P

-value method with the TI-84 Plus calculator.

18.6	25.2	4.1	20.4	17.3	9.0	13.7
17.6	34.0	29.9	8.7	31.7	19.8	15.5

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Part: 0 / 5

0 of 5 Parts Complete

Part 1 of 5

(a) State the appropriate null and alternate hypotheses.

H0 : =12 H1 : >12 This hypothesis test is a left-tailed test.

Part: 1 / 5

1 of 5 Parts Complete

Part 2 of 5

(b) Compute the value of the test statistic. Round the answer to at least three decimal places.

=t 3.035

Part: 2 / 5

2 of 5 Parts Complete

Part 3 of 5

(c) Compute the

P

-value. Round the answer to at least four decimal places.

P -value =