Review case study and answer questions for each case.

The Case of the Accountants

The president of a large accounting company is required to send employees back to school

each year to catch up on the latest changes to tax laws. Each employee is sent to a two-week school

and then must pass a competency exam showing that they have learned what they need to know. The

president, although realizing the need for ongoing education, has long complained that sending

employees away for two weeks is unproductive. Finally, after years of suffering, he sets out to find a

better way of educating the employees. He soon discovers that several institutions are offering online

versions of the required courses and exclaims: “This is perfect! Now, my employees can work all day

and then study online at night. It’s the best of both worlds”.

While describing his plan to the accounting managers, one of the chief accountants asks the

president if the quality of the online schools is equal that of the traditional schools. “After all,” she says,

“how do we know what we’re getting? Maybe we should investigate this a little further before we

commit all of our accountants to this plan”. The president sees the validity of her argument and comes

up with a plan. “I know what we’ll do. Let’s randomly choose half of our accountants to take the

courses online and the other half can go to the regular schools. Once they come back, we’ll see how

the two groups compare on the competency examination”. The company immediately goes about

setting their plan into action!

1. What is the hypothesis that the company is investigating?

2. What is the independent variable? What are the levels of the independent variables?

3. What is the dependent variable?

4. Which statistical test would the company use to test their hypothesis?

5. For each of the sets of output below, what can you tell about the dependent variable? What

decision would the president make?

Case A:

Variable Group Number Mean Standard Standard Error

in Group Deviation of the Mean

Score Online 10 84.10 5.2377 1.6563

Traditional 10 79.20 3.3267 1.0520

Levene Test t-test for the Equality of Means

SCORE F p t Degrees of 1-tailed p 2-tailed p

value value value Freedom value value

Equal 2.700 0.118

Variances 2.497 18 .011 .022

Assumed

Equal

Variances Not 2.497 15.245 .012 .024

Assumed

Case B:

Variable Group Number Mean Standard Standard Error

in Group Deviation of the Mean

Score Online 10 84.10 5.2377 1.6563

Traditional 10 84.30 2.4518 0.7753

Levene Test t-test for the Equality of Means

SCORE F p t Degrees of 1-tailed p 2-tailed p

value value value Freedom value value

Equal 7.20 .015

Variances .109 18 .4570 .914

Assumed

Equal

Variances Not .109 12.763 .4575 .915

Assumed

Case C:

Variable Group Number Mean Standard Standard Error

in Group Deviation of the Mean

Score Online 10 84.10 5.2377 1.6563

Traditional 10 93.30 1.8288 .5783

Levene Test t-test for the Equality of Means

SCORE F p t Degrees of 1-tailed p 2-tailed p

value value value Freedom value value

Equal 10.32 .005

Variances 5.244 18 .000 .000

Assumed

Equal

Variances Not 5.244 11.162 .000 .000

Assumed