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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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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