Diet Methods:Here we study the effectiveness of two dieting methods. Method 1 is a diet high in protein, fiber, and fat but low in carbohydrates. Method 2 is a diet low in fat but high in fiber and carbohydrates. After one year, a sample of participants from each diet method were checked for the amount of weight lost. The95%confidence intervals for the mean weight loss of each plan are given below.

Method 1:8.37<<9.43

Method 2:6.28<<8.72

(a) What is the sample mean weight loss for participants in the Method 1 diet plan?Round your answer to 1 decimal place.

x₁=pounds

(b) What is the sample mean weight loss for participants in the Method 2 diet plan?Round your answer to 1 decimal place.

x₂=pounds

(c) Are you95%confident that the mean weight loss for all those on the Method 1 diet plan is greater than the mean weight loss for all on the Method 2 diet plan and why?

No, because the confidence intervals overlap.

Yes, because upper limit for Method 2 is less than the lower limit for Method 1.

No, because upper limit for Method 2 is less than the lower limit for Method 1.

Yes, because the confidence intervals overlap.