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A Fast Food Company Uses Two Management-Training Methods -Is There Sufficient Evidence to Conclude That the New Training

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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 36 new management trainees.15 of the trainees are randomly selected and assigned to the first method,and the remaining 16 trainees are assigned to the second training method.After three months of training,the management trainees took a standardized test.The test was designed to evaluate their performance and learning from training.The sample mean score and sample standard deviation of the two methods are given below.The management wants to determine if the company should implement the new training method.Assume equal population variances and normally distributed populations.  Mean  Standard deviation  Method 1 693.4 Method 2 723.8\begin{array} { l c c } & \text { Mean } & \text { Standard deviation } \\\text { Method 1 } & 69 & 3.4 \\\text { Method 2 } & 72 & 3.8\end{array}
-Is there sufficient evidence to conclude that the new training method is more effective than the traditional training method? What is the decision at alpha = .05?


Definitions:

Fair Deal

A set of proposals put forward by U.S. President Harry S. Truman to Congress in 1949 aimed at improving social welfare and civil rights.

Harry S. Truman

The 33rd President of the United States, serving from 1945 to 1953, known for implementing the Marshall Plan and leading the country through the end of World War II.

Federal Health Insurance

A government-provided insurance scheme designed to offer health coverage to citizens, typically funded through taxes, examples include Medicare and Medicaid in the United States.

Bracero Program

A series of agreements between the United States and Mexico, allowing Mexican laborers to work temporarily in the U.S. agricultural sector from 1942 to 1964.

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