3. A psychologist expects gender differences in the mean number of times students check their Facebook per day. The psychologist asked 24 males and 24 females about their Facebook activity and found that the mean number of times for females was 12 whereas for males was 9. The study estimated the population standard deviation to be 5. Using the above information and α = .05, two-tailed, independent samples t-test, complete the following questions.   a) What is the effect size of this study?  b) What is the power of this study? c) Using the same effect size as 3a (and α = .05), how many total subjects would the researcher need to obtain the power of 0.96? d)    Interpret your answer to the above question (3c). That is, what does power equal to 0.96 mean in the context of testing a hypothesis?

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. A psychologist expects gender differences in the mean number of times students check their Facebook per day. The psychologist asked 24 males and 24 females about their Facebook activity and found that the mean number of times for females was 12 whereas for males was 9. The study estimated the population standard deviation to be 5. Using the above information and α = .05, two-tailed, independent samples t-test, complete the following questions.

 

a) What is the effect size of this study? 

b) What is the power of this study?

c) Using the same effect size as 3a (and α = .05), how many total subjects would the researcher need to obtain the power of 0.96?

d)    Interpret your answer to the above question (3c). That is, what does power equal to 0.96 mean in the context of testing a hypothesis?                

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