Question

24 multiple choice 4 points evaluate the claim. a weight - loss program claims that, on average, participants lose 10 pounds during the first month of participation. an independent organization constructed a 95% confidence interval of (6.63, 9.15) for the average amount of weight lost during the first month of this program. what conclusion best evaluates the claim made about this programs effectiveness? with 95% certainty, the claim of losing 10 pounds on average during the first month of participation is false with 95% certainty, the claim of losing 10 pounds on average during the first month of participation is correct with 100% certainty, the claim of losing 10 pounds on average during the first month of participation is false with 100% certainty, the claim of losing 10 pounds on average during the first month of participation is correct

Explanation:

Step1: Understand the confidence interval concept

A 95% confidence interval means that if we were to construct many such intervals, about 95% of them would contain the true population parameter. The given confidence interval is (6.63, 9.15).

Step2: Check the claim value against the interval

The claim is that the average weight - loss is 10 pounds. Since 10 is not within the interval (6.63, 9.15), we can be 95% confident that the claim is false. A confidence interval does not give 100% certainty.

Answer:

With 95% certainty, the claim of losing 10 pounds on average during the first month of participation is false.