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(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.)

(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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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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
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