Janine is interested in how taking a computer science course affects the salary of college graduates. She asked 20 college graduates that had previously taken computer science and 20 college graduates that had not taken computer science to record their salaries. She found that S65,000 was the average salary for those that took the computer science course and $60,000 was the average salary for those that did not take the computer science course. She estimated that the population standard deviation was $6,000. She decided to use an independent samples t-test with a .05. a What is the effect size of the study? b. What is the power of this study?

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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1. Janine is interested in how taking a computer science course affects the salary of college
graduates. She asked 20 college graduates that had previously taken computer science
and 20 college graduates that had not taken computer science to record their salaries. She
found that $65,000 was the average salary for those that took the computer science course
and S60,000 was the average salary for those that did not take the computer science
course. She estimated that the population standard deviation was $6,000. She decided to
use an independent samples t-test with a =.05.
a What is the effect size of the study?
b. What is the power of this study?
c. Interpret your answer to the above question (1b). That is, interpret the power of the
study.
d. What is the probability of making a Type II error? (hint use the answer from 1b).
e. Given the data and your calculated effect size, how many TOTAL subjects would
Janine need to obtain a power of 91. a-01.
Transcribed Image Text:1. Janine is interested in how taking a computer science course affects the salary of college graduates. She asked 20 college graduates that had previously taken computer science and 20 college graduates that had not taken computer science to record their salaries. She found that $65,000 was the average salary for those that took the computer science course and S60,000 was the average salary for those that did not take the computer science course. She estimated that the population standard deviation was $6,000. She decided to use an independent samples t-test with a =.05. a What is the effect size of the study? b. What is the power of this study? c. Interpret your answer to the above question (1b). That is, interpret the power of the study. d. What is the probability of making a Type II error? (hint use the answer from 1b). e. Given the data and your calculated effect size, how many TOTAL subjects would Janine need to obtain a power of 91. a-01.
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