Question

Please break EVERYTHING down as to how you came to the answer. Please be neat while writing it down. If a graph or chart is needed, please indicate which chart and where to look, etc.

Thank you so so much! :)

Part 3: Confidence intervals. 1. In a test of weight loss programs, 90 adults used the Atkins weight loss program. After 6 months, their mean weight loss was found to be 3.1 pounds with a standard deviation of 5.2 pounds. Construct a 99% confidence interval estimate for the mean weight loss for all people on the Atkins weight loss program. Write a statement that correctly interprets the confidence interval. (10 points)

Answer 1

Given that: n=90 Ž= 3.1 s =5.2 x=0.01 The 99% confidance interval for mean weight loss for all people (M) [ 3.1 I 20.005, 89 5.2 50 = 9.4868? ✓go 3.1 I (2.63 22 ) (0.5481/ s talni = 2.6322 - 1 using t-table} = I 1.4428 → [ 1.6572 , 4.5428] The 99% confident that the true population mean for weight loss on the Atkins weight loss program lies between 1.6572 and 4.5428