A Statistics Teacher Wants to See If There Is Any $\begin{array}{ll}&\text { Today } & \text { Five Years Ago } \\\bar {x}&82 & 88 \\\sigma^2&112.5 & 54 \\n&45 & 36\end{array}$

Multiple Choice

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. $\begin{array}{ll}&\text { Today } & \text { Five Years Ago } \\\bar {x}&82 & 88 \\\sigma^2&112.5 & 54 \\n&45 & 36\end{array}$
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.)

A) There is a statistically significant difference in the average final examination scores between the two classes.
B) There is no statistically significant difference in the average final examination scores between the two classes.
C) It is impossible to make a decision on the basis of the information given.
D) The students who enrolled in statistics today are the same students who enrolled five years ago.