An educational psychologist studies the positive effect of frequent testing on retention of class material. In one section of an introductory course, students are given quizzes each week. A second section of the same course receives only two tests during the semester. At the end of the semester, both sections receive the same final exam, and the scores are summarized below: Frequent Quizzes Two Exams n = 11 n = 7 M = 73 M = 66.5 a. If the first sample (frequent quizzing condition) variance is s2 = 51 and the second sample (two exams condition) is s2 = 59, do the data indicate that frequent quizzing has a significant positive effect on retention of class material? Use a one-tailed test at the α = 0.05 level of significance. b. If the alpha level for the hypothesis test was changed from α = 0.05 to α = 0.01, do the data indicate that frequent quizzing has a significant positive effect on retention of class material? Use a one-tailed test at the α = 0.01 level of significance. c. If the first sample variance has s2 = 67 and the second sample has s2 = 61, do the data indicate that testing frequency has a significant positive effect on retention of class material? As in part A, use a one-tailed test with α = 0.05. d. Describe how the alpha level and the size of the variance affects the outcome of the hypothesis test.
An educational psychologist studies the positive effect of frequent testing on retention of class material. In one section of an introductory course, students are given quizzes each week. A second section of the same course receives only two tests during the semester. At the end of the semester, both sections receive the same final exam, and the scores are summarized below:
Frequent Quizzes Two Exams
n = 11 n = 7
M = 73 M = 66.5
a. If the first sample (frequent quizzing condition) variance is s2 = 51 and the second sample (two exams condition) is s2 = 59, do the data indicate that frequent quizzing has a significant positive effect on retention of class material? Use a one-tailed test at the α = 0.05 level of significance.
b. If the alpha level for the hypothesis test was changed from α = 0.05 to α = 0.01, do the data indicate that frequent quizzing has a significant positive effect on retention of class material? Use a one-tailed test at the α = 0.01 level of significance.
c. If the first sample variance has s2 = 67 and the second sample has s2 = 61, do the data indicate that testing frequency has a significant positive effect on retention of class material? As in part A, use a one-tailed test with α = 0.05.
d. Describe how the alpha level and the size of the variance affects the outcome of the hypothesis test.
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