SCENARIO 19-6
a Student Wanted to Find Out the Optimal

question 82

Short Answer

SCENARIO 19-6
A student wanted to find out the optimal strategy to study for a Business Statistics exam. He
constructed the following payoff table based on the mean amount of time he needed to study every
week for the course and the degree of difficulty of the exam. From the information that he gathered
from students who had taken the course, he concluded that there was a 40% probability that the exam
would be easy. $$\begin{array} { | l | l | l | l | } \hline & 16 \text { hours } & 8 \text { hours } & 4 \text { hours } \\\hline \text { Easy Exam } & 40 & 60 & 80 \\\hline \text { Difficult Exam } & 100 & 50 & 0 \\\hline\end{array}$$
-Referring to Scenario 19-6, what is the expected opportunity loss of spending 8 hours per week on
average studying for the exam?

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Definitions:

T-test for Dependent Means

A statistical method used to compare the means of two related groups.

α

In statistics, α (alpha) typically represents the level of significance, the probability of rejecting the null hypothesis when it is actually true.

Null Hypothesis

A hypothesis that assumes no statistical significance exists in a set of given observations and that any observed difference is due to chance.

T = 1.965

A specific value often used in statistical analysis, particularly in hypothesis testing, where it represents a critical value in a t-distribution.