A brochure inviting subscriptions for a new diet program states that the participants lose over 27 pounds in five weeks with a standard deviation of 3.4. Data was collected from 65 participants who...

A brochure inviting subscriptions for a new diet program states that the participants lose over 27 pounds in five weeks with a standard deviation of 3.4. Data was collected from 65 participants who attended this diet program, the sample mean for weight loss was 25.5

pounds. Could the statement in the brochure be substantiated on the basis of these findings? Test at the α = .01 level. Give detailed explanation with solution.