Question.3258 - 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 1.0520Levene 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 valueEqual 2.700 0.118 Variances 2.497 18 .011 .022 Assumed Equal Variances Not 2.497 15.245 .012 .024 AssumedCase 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 0.7753Levene 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 valueEqual 7.20 .015 Variances .109 18 .4570 .914 Assumed Equal Variances Not .109 12.763 .4575 .915 AssumedCase 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 .5783Levene 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 valueEqual 10.32 .005 Variances 5.244 18 .000 .000 Assumed Equal Variances Not 5.244 11.162 .000 .000
Answer Below:
The xxxxxxxxxx that xxx company xx investigating xx whether xxx employees xxxxx be xxxx productive xx they xxxxxxx traditional xxx of xxxxxxxx or xxxxxx training xxxxxxxxxxx way xx training xxxxxx that xxx employees xxxxx be xxxx to x two-week xxxxxx and xxxxx that xxxx would xxxx to xxxx a xxxxxxxxxx exam xx prove xxxx they xxxx learned xxxx they xxx supposed xx know xxxxxx training xxxxxxxx that xxx employees xxx work xxx day xxx study xxxxxx during xxxxx So xxxxxx the xxxxxxx enrolls xxx its xxxxxxxxx to xxxxxx training xx wants xx make xxxx that xxx productivity xx the xxxxxxx increases xxxxxxx compromising xx the xxxxxxx that xxx traditional xxxxxxx give xxxxxxxxxxx variable xx one xx which xxx tester xxx have xxxxxxx i x its xxxxxx will xx manipulated xx the xxxxxx of xxxxxxxxxx Here xxx independent xxxxxxxx is xxx time xxxx the xxxxxxxxx can xxxxxx for xxxxxxxx and xxxxxxxx so xx to xx well xx competency xxxx In xxxxxxxxxxx schools xxx employees xxx devote xxxx time xx learning xxxxxxx they xxx off xxxx work xxxxx in xxxxxx training xxx employees xxxx a xxx hours xxxx day xx hand xx study xx they xxxx to xxxx all xxx and xxxx to xxxxx at xxxxx Dependant xxxxxxxx is xxx that xxxxxxx on xxx independent xxxxxxxx Here xxx dependant xxxxxxxx is xxx scores xx the xxxxxxxxx in xxx competency xxxx The xxxxxxx can xxx ldquo xxxxxx test xxx equality xx variance xxxxx or xxxxx t-test xxx the xxxxxxxx of xxxxx rdquo xx test xxx hypothesis xxx ldquo xxxxxx test xxxxx if xxxxxxx is xxxx than xxx hypothesis xx correct xx Case x and xxxx C xxxxx that xxx dependant xxxxxxxx is xxx significantly xxxxxxxxx therefore xxx president xxxxx go xxx online xxxxxxxx of xxx employees xxx in xxxx A xxx p xxxxx amp xx therefore xx shows x significant xxxxxxxxxx in xxxxxxxx so xxx president xxxxx stick xx the xxxxxxxxxxx school xxx ldquo xxxxxx for xxx Equality xx means xxxxx if xxx tailed xxxxxxx is xxxx than xxx hypothesis xx correct xx Case x and xxxx C xxxx the xxxxxxxxx variable xx not xxxxxxxxxxxxx different xxxxxxxxx the xxxxxxxxx would xx for xxxxxx training xx its xxxxxxxxx But xx Case x the xxxxxxxxxx p xxxxx amp xx therefore xx shows x significant xxxxxxxxxx in xxxxxxxx so xxx president xxxxx stick xx the xxxxxxxxxxx schoolMore Articles From Statistics
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