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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich
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Financial incentives for college students. Do students who

Chapter 8, Problem 99SE

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QUESTION:

Financial incentives for college students. Do students who play virtual-reality educational software games perform better in school? If so, software designers will use this information to create more attractive and motivating educational software. In a study published in Educational Technology & Society (April 2005), a class of 90 elementary schoolchildren were randomly divided into two groups of 45. One group used a virtual-reality game called VR-ENGAGE to learn about geography. The other group learned geography on the computer with a simple user interface. All students were given an exam at the beginning and the end of the learning period. The difference in test scores was used to find the percentage improvement in scores for each student. The following table summarizes the results for the two groups.

a. Visually inspect the summary results. Does it appear that the mean improvement in scores for the virtual reality group is greater than the mean for the simple user interface group?

b. Conduct an analysis (either a confidence interval or a test of hypothesis) at \(\alpha\ =\ .05\) to support your observation in part a.

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QUESTION:

Financial incentives for college students. Do students who play virtual-reality educational software games perform better in school? If so, software designers will use this information to create more attractive and motivating educational software. In a study published in Educational Technology & Society (April 2005), a class of 90 elementary schoolchildren were randomly divided into two groups of 45. One group used a virtual-reality game called VR-ENGAGE to learn about geography. The other group learned geography on the computer with a simple user interface. All students were given an exam at the beginning and the end of the learning period. The difference in test scores was used to find the percentage improvement in scores for each student. The following table summarizes the results for the two groups.

a. Visually inspect the summary results. Does it appear that the mean improvement in scores for the virtual reality group is greater than the mean for the simple user interface group?

b. Conduct an analysis (either a confidence interval or a test of hypothesis) at \(\alpha\ =\ .05\) to support your observation in part a.

ANSWER:

Step 1 of 3

a) Let   be the mean improvement in scores of the VR-ENGAGE and  be the

mean improvement in scores of the Simple User interface.

Here we have the following summary data.

 VR-ENGAGE

  Simple User Interface

 n:

         45

                 45

        43.15

               32.48

 S:

        12.57

                9.26

From the above summary data, we observe that the mean improvement in scores

for virtual-reality group (VR-ENGAGE) is greater than the mean improvement

in scores for the simple user interface.

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