(c) How many people would need to be studied to have 80% power under the assumptions in (a)? (Round your answer up to the nearest whole number.)

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
Diabetes
Plasma-glucose levels are used to determine the presence of diabetes. Suppose the mean In(plasma-glucose) concentration (mg/dL) in 35- to 44-year-olds is 4.86 with standard
deviation = 0.64. A study of 100 sedentary people in this age group is planned to test whether they have a higher or lower level of plasma glucose than the general population.
USE SALT
(a) If the expected difference is 0.10 In units, then what is the power of such a study if a two-sided test is to be used with a = 0.05?
0.0500
(b) Answer (a) if the expected difference is 0.20 In units.
0.496
(c) How many people would need to be studied to have 80% power under the assumptions in (a)? (Round your answer up to the nearest whole number.)
x
398
Transcribed Image Text:Diabetes Plasma-glucose levels are used to determine the presence of diabetes. Suppose the mean In(plasma-glucose) concentration (mg/dL) in 35- to 44-year-olds is 4.86 with standard deviation = 0.64. A study of 100 sedentary people in this age group is planned to test whether they have a higher or lower level of plasma glucose than the general population. USE SALT (a) If the expected difference is 0.10 In units, then what is the power of such a study if a two-sided test is to be used with a = 0.05? 0.0500 (b) Answer (a) if the expected difference is 0.20 In units. 0.496 (c) How many people would need to be studied to have 80% power under the assumptions in (a)? (Round your answer up to the nearest whole number.) x 398
Diabetes Plasma-glucose levels are used to determine the presence of dlabetes. Suppose the mean In (plasma - glucose
) concentration (mg/dL) in 35 to 44-year-olds is 4.86 with standard deviation = 0.64. A study of 100 sedentary
people in this age group is planned to test whether they have a higher or lower level of plasma glucose than the general
population. (a) If the expected difference is 0.10 In units, then what is the power of such a study if a two-sided test is to
be used with α = 0.05? (b) Answer (a) if the expected difference is 0.20 In units. (c) How many people would need to
be studied to have 80% power under the assumptions in (a)? (Round your answer up to the nearest whole number.)
Diabetes
Plasma-glucose levels are used to determine the presence of diabetes. Suppose the mean In(plasma-glucose) concentration (mg/dL) in 35- to 44-year-olds is 4.86 with standard
deviation 0.64. A study of 100 sedentary people in this age group is planned to test whether they have a higher or lower level of plasma glucose than the general population.
USE SALT
(a) If the expected difference is 0.10 In units, then what is the power of such a study if a two-sided test is to be used with a 0.05?
0.0500
(b) Answer (a) if the expected difference is 0.20 In units.
0.496
(c) How many people would need to be studied to have 80% power under the assumptions in (a)? (Round your answer up to the nearest whole number.)
x
398
Transcribed Image Text:Diabetes Plasma-glucose levels are used to determine the presence of dlabetes. Suppose the mean In (plasma - glucose ) concentration (mg/dL) in 35 to 44-year-olds is 4.86 with standard deviation = 0.64. A study of 100 sedentary people in this age group is planned to test whether they have a higher or lower level of plasma glucose than the general population. (a) If the expected difference is 0.10 In units, then what is the power of such a study if a two-sided test is to be used with α = 0.05? (b) Answer (a) if the expected difference is 0.20 In units. (c) How many people would need to be studied to have 80% power under the assumptions in (a)? (Round your answer up to the nearest whole number.) Diabetes Plasma-glucose levels are used to determine the presence of diabetes. Suppose the mean In(plasma-glucose) concentration (mg/dL) in 35- to 44-year-olds is 4.86 with standard deviation 0.64. A study of 100 sedentary people in this age group is planned to test whether they have a higher or lower level of plasma glucose than the general population. USE SALT (a) If the expected difference is 0.10 In units, then what is the power of such a study if a two-sided test is to be used with a 0.05? 0.0500 (b) Answer (a) if the expected difference is 0.20 In units. 0.496 (c) How many people would need to be studied to have 80% power under the assumptions in (a)? (Round your answer up to the nearest whole number.) x 398
Expert Solution
steps

Step by step

Solved in 3 steps with 8 images

Blurred answer
Similar questions
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