Question 8: A 1991 survey of 1984 graduates of different colleges in the East of the U.S., respondents were asked their 1990 income. Sub-samples of 1,017 employed graduates of liberal arts colleges and 374 employed graduates of large state universities have the following means and standard deviations for 1990 income (in thousands of dollars): Mean Std. Dev. n Liberal arts 33.879 25.369 1,017 college Large state university 28.630 22.750 374 Test the (alternative) hypothesis that graduates of liberal arts colleges earn more than graduates of large state universities against the null hypothesis of no difference in their earnings. (Use a 5% level of significance. Do not assume that the variance of earnings of liberal arts college graduates is equal to the variance of earnings of graduates from large state universities). Show all four steps.

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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Question 8: A 1991 survey of 1984 graduates of different colleges in the East of the U.S.,
respondents were asked their 1990 income. Sub-samples of 1,017 employed graduates of
liberal arts colleges and 374 employed graduates of large state universities have the
following means and standard deviations for 1990 income (in thousands of dollars):
Mean
Std. Dev.
n
Liberal arts
33.879
25.369
1,017
college
Large state
university
28.630
22.750
374
Test the (alternative) hypothesis that graduates of liberal arts colleges earn more than
graduates of large state universities against the null hypothesis of no difference in their
earnings. (Use a 5% level of significance. Do not assume that the variance of earnings
of liberal arts college graduates is equal to the variance of earnings of graduates from
large state universities). Show all four steps.
Transcribed Image Text:Question 8: A 1991 survey of 1984 graduates of different colleges in the East of the U.S., respondents were asked their 1990 income. Sub-samples of 1,017 employed graduates of liberal arts colleges and 374 employed graduates of large state universities have the following means and standard deviations for 1990 income (in thousands of dollars): Mean Std. Dev. n Liberal arts 33.879 25.369 1,017 college Large state university 28.630 22.750 374 Test the (alternative) hypothesis that graduates of liberal arts colleges earn more than graduates of large state universities against the null hypothesis of no difference in their earnings. (Use a 5% level of significance. Do not assume that the variance of earnings of liberal arts college graduates is equal to the variance of earnings of graduates from large state universities). Show all four steps.
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