A college student is interested in investigating the claim that students who graduate with a master’s degree earn higher salaries, on average, than those who finish with a bachelor’s degree. She surveys, at random, 49 recent graduates who completed their master’s degrees, and finds that their mean salary is $37,400 per year. The standard deviation of annual salaries for the population of recent graduates who have master’s degrees is known to be $2400. She also surveys, at random, 37 recent graduates who completed their bachelor’s degrees, and finds that their mean salary is $36,700 per year. The standard deviation of annual salaries for the population of recent graduates with only bachelor’s degrees is known to be $1900. Test the claim at the 0.05 level of significance. Let recent graduates with a master's degree be Population 1 and let recent graduates with a bachelor's degree be Population 2. Step 3 of 3 : Draw a conclusion and interpret the decision.
A college student is interested in investigating the claim that students who graduate with a master’s degree earn higher salaries, on average, than those who finish with a bachelor’s degree. She surveys, at random, 49 recent graduates who completed their master’s degrees, and finds that their mean salary is $37,400 per year. The standard deviation of annual salaries for the population of recent graduates who have master’s degrees is known to be $2400. She also surveys, at random, 37 recent graduates who completed their bachelor’s degrees, and finds that their mean salary is $36,700 per year. The standard deviation of annual salaries for the population of recent graduates with only bachelor’s degrees is known to be $1900. Test the claim at the 0.05 level of significance. Let recent graduates with a master's degree be Population 1 and let recent graduates with a bachelor's degree be Population 2. Step 3 of 3 : Draw a conclusion and interpret the decision.
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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A college student is interested in investigating the claim that students who graduate with a master’s degree earn higher salaries, on average, than those who finish with a bachelor’s degree. She surveys, at random, 49 recent graduates who completed their master’s degrees, and finds that their mean salary is $37,400 per year. The standard deviation of annual salaries for the population of recent graduates who have master’s degrees is known to be $2400. She also surveys, at random, 37 recent graduates who completed their bachelor’s degrees, and finds that their mean salary is $36,700 per year. The standard deviation of annual salaries for the population of recent graduates with only bachelor’s degrees is known to be $1900. Test the claim at the 0.05 level of significance. Let recent graduates with a master's degree be Population 1 and let recent graduates with a bachelor's degree be Population 2.
Step 3 of 3 :
Draw a conclusion and interpret the decision.
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