Nutritional researchers conducted an investigation of high fiber diets intended to reduce serum cholesterol level. Twenty men with high serum cholesterol were randomly allocated to receive an "oat" diet (treatment 1) or a placebo (treatment 2) for 21 days. The following table summarizes the decrease (before – after) in serum cholesterol levels. Diet sample size (n) sample mean Oat Placebo 10 10 53.6 14.2 sample standard deviation (s) 31.1 29.5 (a) Construct a 95% confidence interval for the difference of the mean decreases in serum cholesterol levels from the men taking the two diets. Assume normal populations and population variances are equal. (b) Based on the confidence interval in (a), can we conclude that high fiber diets help to reduce serum cholesterol level? Why?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Please use the classical approach, not p value approach

Nutritional researchers conducted an investigation of high fiber diets intended to reduce serum
cholesterol level. Twenty men with high serum cholesterol were randomly allocated to receive
an "oat" diet (treatment 1) or a placebo (treatment 2) for 21 days. The following table
summarizes the decrease (before - after) in serum cholesterol levels.
Diet
Oat
Placebo
sample size (n) sample mean () sample standard deviation (s)
10
53.6
10
14.2
31.1
29.5
(a) Construct a 95% confidence interval for the difference of the mean decreases in serum
cholesterol levels from the men taking the two diets. Assume normal populations and
population variances are equal.
(b) Based on the confidence interval in (a), can we conclude that high fiber diets help to
reduce serum cholesterol level? Why?
Transcribed Image Text:Nutritional researchers conducted an investigation of high fiber diets intended to reduce serum cholesterol level. Twenty men with high serum cholesterol were randomly allocated to receive an "oat" diet (treatment 1) or a placebo (treatment 2) for 21 days. The following table summarizes the decrease (before - after) in serum cholesterol levels. Diet Oat Placebo sample size (n) sample mean () sample standard deviation (s) 10 53.6 10 14.2 31.1 29.5 (a) Construct a 95% confidence interval for the difference of the mean decreases in serum cholesterol levels from the men taking the two diets. Assume normal populations and population variances are equal. (b) Based on the confidence interval in (a), can we conclude that high fiber diets help to reduce serum cholesterol level? Why?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 19 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman