In a test of weight loss programs, 40 adults used the Atkins weight loss program. After 12 months, their mean weight loss was found to be 2.1 lb., with a standard deviation of 4.8 lb. a. Construct a 95% confidence interval estimate of the mean weight loss for all subjects. Does the Atkins program appear to be effective? b.If a sample of 100 adults, construct a 95% confidence interval estimate of the mean weight loss for all subjects. Does the Atkins program appear to be effective? c. Based on the results on a) and b), explain the effect of sample size on the confidence interval estimate and its practical implication.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
icon
Related questions
Topic Video
Question

In a test of weight loss programs, 40 adults used the Atkins weight loss program. After 12 months, their mean weight loss was found to be 2.1 lb., with a standard deviation of 4.8 lb.

a. Construct a 95% confidence interval estimate of the mean weight loss for all subjects. Does the Atkins program appear to be effective?

b.If a sample of 100 adults, construct a 95% confidence interval estimate of the mean weight loss for all subjects. Does the Atkins program appear to be effective?

c. Based on the results on a) and b), explain the effect of sample size on the confidence interval estimate and its practical implication.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning