A Fast-Food Company Uses Two Management-Training Methods $\begin{array}{lcc} & \text { Mean } & \text { Standard Deviation } \\\text { Method 1 } & 69 & 3.4 \\\text { Method 2 } & 72 & 3.8\end{array}$

Short Answer

A fast-food company uses two management-training methods.Method 1 is a traditional method of training,and Method 2 is a new and innovative method.The company has just hired 31 new management trainees.15 of the trainees are randomly selected and assigned to Method 1,and the remaining 16 trainees are assigned to Method 1 .After three months of training,the management trainees take a standardized test.The test is designed to evaluate their performance and learning from the training.The sample mean score and sample standard deviation of the two methods are given below.Company management wants to determine whether the company should implement the new training method.
$\begin{array}{lcc} & \text { Mean } & \text { Standard Deviation } \\\text { Method 1 } & 69 & 3.4 \\\text { Method 2 } & 72 & 3.8\end{array}$
What is the absolute value of the rejection point (critical value of the test statistic)at α = .05?