Question

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 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.

	mean	Standard Deviation
method 1	69	3.4
method 2	72	3.8

a. Is there sufficient evidence to conclude that the new training method is more effective than the traditional training method? a = .05?

b. State the null and alternative hypothesis.

c. Determine the test statistic

d. Determine the p-value and make a decision

e. Interpret the results

Answer 1

(a)

The level of significance is 0.05.

(b)

Null hypothesis :

That is, the new training method is same effective as the traditional training method.

Alternative hypothesis :

That is, the new training method is same effective as the traditional training method.

(c)

Excel add-in (Mega Stat) procedure :

Step 1: In EXCEL, select ADD-Ins > Mega Stat > Hypothesis Tests.

Step 2 : Choose Compare Two Independent Groups.

Step 3 : Choose Summary Input.

Step 4 : In Group 1, enter B1:B4 (Select ranges with lable mean, SD, n).

Step 5 : In Group 2, enter D1:D4 (select ranges with label mean, SD, n).