New York and Massachusetts lead the list of average teacher's salaries. The New York average is $76,409 while teachers in Massachusetts make an average annual salary of $73,195. Random samples of 45 teachers from each state yielded the following. Sample means Population standard deviation Massachusetts $73,195 8,200 At a = 0.10, is there a difference in means of the salaries. New York $76,409 7,800

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
Question
15.
New York and Massachusetts lead the list of average teacher's salaries. The New York average is
$76,409 while teachers in Massachusetts make an average annual salary of $73,195. Random samples
of 45 teachers from each state yielded the following.
Sample means
Population standard deviation
Massachusetts
$73,195
8,200
At a = 0.10, is there a difference in means of the salaries.
New York
$76,409
7,800
a) State Ho and H₁, then identify the claim
b) Find the test statistic and either the critical value or p-value
c)
Determine if we reject or fail to reject Hỏ. Show your solution and use the appropriate method
based on part b
d) Write your conclusion
Transcribed Image Text:15. New York and Massachusetts lead the list of average teacher's salaries. The New York average is $76,409 while teachers in Massachusetts make an average annual salary of $73,195. Random samples of 45 teachers from each state yielded the following. Sample means Population standard deviation Massachusetts $73,195 8,200 At a = 0.10, is there a difference in means of the salaries. New York $76,409 7,800 a) State Ho and H₁, then identify the claim b) Find the test statistic and either the critical value or p-value c) Determine if we reject or fail to reject Hỏ. Show your solution and use the appropriate method based on part b d) Write your conclusion
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