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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

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  1. The hypothesis xxxxxxx the company xxxxxxx investigating is xxxxxxx xxxxxxx employees xxxxxxx be more xxxxxxx if they xxxxxxx traditional xxxxxxx xxxxxxx learning or xxxxxxx training. Traditional xxxxxxx of training xxxxxxx that the xxxxxxx would be xxxxxxx to a xxxxxxx xxxxxxx and xxxxxxx that they xxxxxxx have to xxxxxxx a xxxxxxx xxxxxxx to prove xxxxxxx they have xxxxxxx what they xxxxxxx supposed to xxxxxxx Online training xxxxxxx that the xxxxxxx xxxxxxx work xxxxxxx day and xxxxxxx online during xxxxxxx So xxxxxxx xxxxxxx company enrolls xxxxxxx its employees xxxxxxx online training, xxxxxxx wants to xxxxxxx sure that xxxxxxx productivity of xxxxxxx xxxxxxx increases xxxxxxx compromising on xxxxxxx quality that xxxxxxx traditional xxxxxxx xxxxxxx variable is xxxxxxx on which xxxxxxx tester can xxxxxxx control, i.e., xxxxxxx values will xxxxxxx manipulated by xxxxxxx xxxxxxx of xxxxxxx Here the xxxxxxx variable is xxxxxxx time xxxxxxx xxxxxxx employees can xxxxxxx for training xxxxxxx learning so xxxxxxx to do xxxxxxx in competency xxxxxxx In traditional xxxxxxx xxxxxxx employees xxxxxxx devote full xxxxxxx in learning xxxxxxx they xxxxxxx xxxxxxx from work xxxxxxx in online xxxxxxx the employees xxxxxxx a few xxxxxxx each day, xxxxxxx hand to xxxxxxx xxxxxxx they xxxxxxx to work xxxxxxx day and xxxxxxx to xxxxxxx xxxxxxx night.
  2. Dependant variable xxxxxxx one that xxxxxxx on the xxxxxxx variable. Here xxxxxxx dependant variable xxxxxxx the scores xxxxxxx xxxxxxx employees xxxxxxx the competency xxxxxxx company can xxxxxxx “Levene xxxxxxx xxxxxxx equality of xxxxxxx or “t-test xxxxxxx the Equality xxxxxxx means” to xxxxxxx its hypothesis.
  3. For xxxxxxx test,” if xxxxxxx xxxxxxx less xxxxxxx .05, the xxxxxxx is correct xxxxxxx Case xxxxxxx xxxxxxx Case C xxxxxxx that the xxxxxxx variable is xxxxxxx significantly different, xxxxxxx the president xxxxxxx go for xxxxxxx xxxxxxx of xxxxxxx employees. But xxxxxxx Case A, xxxxxxx p xxxxxxx xxxxxxx therefore it xxxxxxx a significant xxxxxxx in variance xxxxxxx the president xxxxxxx stick to xxxxxxx traditional school.

For xxxxxxx xxxxxxx the xxxxxxx of means,” xxxxxxx two tailed xxxxxxx is xxxxxxx xxxxxxx .05, the xxxxxxx is correct xxxxxxx Case A xxxxxxx Case C xxxxxxx the dependant xxxxxxx is not xxxxxxx xxxxxxx therefore xxxxxxx president would xxxxxxx for online xxxxxxx of xxxxxxx xxxxxxx But in xxxxxxx B, the xxxxxxx p value, xxxxxxx therefore it xxxxxxx a significant xxxxxxx in variance xxxxxxx xxxxxxx president xxxxxxx stick to xxxxxxx traditional school.

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