Question 7: 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 13 pounds. Use the a=0.05 level of significance and the P-value method with the TI-84 Plus calculator. 21.2 27.5 6.5 22.8 20 11.5 16.2 19.7 36.3 32.5 11.1 34.8 22.4 17.9 Part 1: (a) State the appropriate null and alternate hypotheses. H0: (BLANK) H1:(BLANK) This hypothesis test is a (BLANK) tests. Answer Choice: Left-Tailed Right-Tailed Two-Tailed Part 2: (b) Compute the value of the test statistic. Round the answer to at least three decimal places. t = (BLANK) Part 3: (c) Compute the P-value. Round the answer to at least four decimal places. P-value: (BLANK) Part 4: (d) Determine whether to reject H0. (BLANK) the null hypothesis H0 Answer Choice: Reject Do Not Reject Part 5: (e) State a conclusion. There (BLANK) is enough evidence to conclude that the mean weight loss is greater than 13 pounds. Answer Choice: Is Is Not
Question 7: 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
21.2 | 27.5 | 6.5 | 22.8 | 20 | 11.5 | 16.2 |
19.7 | 36.3 | 32.5 | 11.1 | 34.8 | 22.4 | 17.9 |
Part 1: (a) State the appropriate null and alternate hypotheses.
H0: (BLANK)
H1:(BLANK)
- This hypothesis test is a (BLANK) tests.
Answer Choice:
- Left-Tailed
- Right-Tailed
- Two-Tailed
Part 2: (b) Compute the value of the test statistic. Round the answer to at least three decimal places.
t = (BLANK)
Part 3: (c) Compute the P-value. Round the answer to at least four decimal places.
- P-value: (BLANK)
Part 4: (d) Determine whether to reject H0.
- (BLANK) the null hypothesis H0
Answer Choice:
- Reject
- Do Not Reject
- Is
- Is Not
.
The data is as follows:
21.2 | 27.5 | 6.5 | 22.8 | 20 | 11.5 | 16.2 |
19.7 | 36.3 | 32.5 | 11.1 | 34.8 | 22.4 | 17.9 |
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