A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken.         Today          Five Years Ago x̅        82                     88 σ²       112.5                54 n         45                    36 What is the critical value of the test statistic if we are testing at α=5%.   If The level of significance for the problem is 10%. Then what is/are the critical value of the test statistic?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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A statistics teacher wants to see if there is any difference in the abilities of students enrolled in statistics today and those enrolled five years ago. A sample of final examination scores from students enrolled today and from students enrolled five years ago was taken.

        Today          Five Years Ago

x̅        82                     88

σ²       112.5                54

n         45                    36

What is the critical value of the test statistic if we are testing at α=5%.
 
If The level of significance for the problem is 10%. Then what is/are the critical value of the test statistic?
 
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