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

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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
  •  
 

.

 
 
 
Expert Solution
Step 1: Mentioning the given data

The data is as follows:

21.227.56.522.82011.516.2
19.736.332.511.134.822.417.9

straight alpha equals 0.05

Sample size, straight n equals 14

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