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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 appropriate test to use for this problem? A. One sample z-test B. Two sample z-test C. Two sample t-test D. One sample t-test   What is the standard error of x̅1 - x̅2?   What is the observed test statistic for the difference between the two population means?

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 appropriate test to use for this problem? A. One sample z-test B. Two sample z-test C. Two sample t-test D. One sample t-test   What is the standard error of x̅1 - x̅2?   What is the observed test statistic for the difference between the two population means?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 42PFA
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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 appropriate test to use for this problem?
A. One sample z-test
B. Two sample z-test
C. Two sample t-test
D. One sample t-test
 
What is the standard error of x̅1 - x̅2?
 
What is the observed test statistic for the difference between the two population means?
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