ary people in this age group is planne er they have a higher or lower level o than the general population. expected difference is 0.10 In units, ver of such a study if a two-sided tes th a = .05? ver Problem (a) if the expected differe many people would need to be stud wer under the assumptions in Proble

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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3. 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 = 0.54. 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 a = .05?
b. Answer Problem (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 Problem (a)?
Transcribed Image Text:3. 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 = 0.54. 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 a = .05? b. Answer Problem (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 Problem (a)?
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