A fast food company uses two managementtraining methods Meth

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. What is the sample value of the test statistic? (Assume equal population variances)

Solution

So test statistic is

t=(xbar1-xbar2)/sqrt(s1^2/n1+s2^2/n2)

=(69-72)/sqrt(3.4^2/15+3.8^2/16)

= -2.311