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, based on means and standard deviations given in the article a Following is a boxplot for these data Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied Explain b If appropriate, perform a hypothesis test to determine whether the mean weight loss is greater than 10 pounds Use the 0 05 level of significance What do you conclude 18 2 24 8 3 9 20 0 17 1 8 8 13 4 17 3 33 8 29 7 8 5 31 2 19 3 15 1

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Question: 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

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, based on means and standard deviations given in the article. 18.2 24.8 3.9 20.0 17.1 8.8 13.4 17.3 33.8 29.7 8.5 31.2

a. Following is a boxplot for these data. Is it reasonable to assume that the conditions for performing a hypothesis test are satisfied? Explain.

19.3 15.1

b. If appropriate, perform a hypothesis test to determine whether the mean weight loss is greater than 10 pounds. Use the α = 0.05 level of significance. What do you conclude?

18.2 24.8 3.9 20.0 17.1 8.8 13.4 17.3 33.8 29.7 8.5 31.2 19.3 15.1

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