The reduction in cholesterol level after eating a certain brand of oatmeal for breakfast for one month in people with cholesterol levels over 200 is Normally distributed, with mean (in milligrams) ?μ and standard deviation ?σ = 8. Although the brand advertises that eating their oatmeal for breakfast daily for one month will produce a mean decrease in cholesterol of more than 20 points for people with cholesterol levels over 200, you believe that the mean decrease in cholesterol is actually less than advertised. To explore this, you test the hypotheses H0: ?μ = 20, Ha: ?μ < 20 at the 0.05 level. You will do this by randomly selecting 144 people with cholesterol levels over 200 and, after eating this brand of oatmeal for one month, computing the mean decrease ?⎯⎯⎯x¯ in cholesterol levels of the subjects. If you observe a sample mean cholesterol reduction of ?⎯⎯⎯x¯ = 18.52, the P-value obtained is: a. 0.0132 b. 0.9868 c. 0.2843 d. 0.0264

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
icon
Related questions
Question

The reduction in cholesterol level after eating a certain brand of oatmeal for breakfast for one month in people with cholesterol levels over 200 is Normally distributed, with mean (in milligrams) ?μ and standard deviation ?σ = 8. Although the brand advertises that eating their oatmeal for breakfast daily for one month will produce a mean decrease in cholesterol of more than 20 points for people with cholesterol levels over 200, you believe that the mean decrease in cholesterol is actually less than advertised. To explore this, you test the hypotheses H0: ?μ = 20, Ha: ?μ < 20 at the 0.05 level. You will do this by randomly selecting 144 people with cholesterol levels over 200 and, after eating this brand of oatmeal for one month, computing the mean decrease ?⎯⎯⎯x¯ in cholesterol levels of the subjects. If you observe a sample mean cholesterol reduction of ?⎯⎯⎯x¯ = 18.52, the P-value obtained is:

a. 0.0132
b. 0.9868
c. 0.2843
d. 0.0264
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL