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 α = 0.05 level of significance. What do you conclude?

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