In a Study of the Effects of Rewards on Learning

question 37

Essay

In a study of the effects of rewards on learning in statistics students, an experimenter divided 20 students into 4 groups of equal sizes using random assignment to the groups. Each student was given a computer-generated statistics test. The students were rewarded with jelly beans as they took the test. The investigators observed the total number of correct answers on the test. The treatments were as follows: The following table contains summary information for this experiment. ​
a) Construct the appropriate ANOVA table and test the hypothesis that there is no difference between the mean number of correct answers for the four treatments for the population of statistics students from which this sample was taken.
b) Is there evidence that the 25% random reward schedule and the 75% random reward schedule result in different achievement? Give statistical evidence to support your answer.

---

Definitions:

Budgets

Financial plans that estimate revenue and expenses over a specified future period of time, often used for planning and controlling financial performance.

Variable Cost Estimates

Projections of costs that vary directly with the level of output or production volume.

Revenue Variances

The difference between actual revenue and budgeted or forecasted revenue, indicating performance against financial goals.

Fixed Cost Estimates

These are projections of costs that do not change in total with changes in business activity level, such as rent or salaries.