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. The 95% confidence intervals for the mean weight loss of each plan are given below.
Method 1: 8.87 < μ
< 9.73
Method 2: 7.16 < μ
< 8.44
(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 you 95% 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.
Additional Materials
a)
mean, x1bar = (9.73 + 8.87)/2 = 9.3 pounds
b)
mean, x2bar = (8.44 + 7.16)/2 = 7.8 pounds
c)
Yes, because upper limit for Method 2 is less than the lower limit
for Method 1.
Diet Methods: Here we study the effectiveness of two dieting methods. Method 1 is a diet...