Exhibit 10-3
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. You are given the following information.
| | Today | Five Years Ago |
 | 82.0 | 88 |
| σ2 | 112.5 | 54 |
| n | 45.0 | 36 |
Refer to Exhibit 10-3. What is the conclusion that can be reached about the difference in the average final examination scores between the two classes? (Use a .05 level of significance.)
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There is a statistically significant difference in the average final examination scores between the two classes.
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There is no statistically significant difference in the average final examination scores between the two classes.
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It is impossible to make a decision on the basis of the information given.
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There is a difference, but it is not significant.
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