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A Statistics Teacher Wants to See If There Is Any  Today  Five Years Ago xˉ8288σ2112.554n4536\begin{array}{ll}&\text { Today } & \text { Five Years Ago } \\\bar {x}&82 & 88 \\\sigma^2&112.5 & 54 \\n&45 & 36\end{array}

question 13

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.  Today  Five Years Ago xˉ8288σ2112.554n4536\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.)

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Definitions:

Type II Error

A statistical term representing the error that occurs when a true hypothesis is incorrectly rejected.

Clinical Trial

A research investigation in which people volunteer to test new treatments to determine whether they should be adopted as standard therapy.

P-Value

Refers to the probability that observed data would occur if the null hypothesis were true, serving as a tool to evaluate evidence against the null hypothesis in statistical tests.

Degrees Of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution, affecting the calculation of various statistical tests.

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