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In a Study of the Effects of Rewards on Learning

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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: 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. The following table contains summary information for this experiment. 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. ​
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.

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1: Let μ1, μ2, μ3, μ4 be the true mean n...

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