An educational psychologist studies the 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. $\begin{array} { l l } \text {FrequentQuizzes} &\text {Two Exams}\\\mathrm { n } = 20 & \mathrm { n } = 20 \\\mathrm { M } = 73 & \mathrm { M } = 68\end{array}$
a.If the first sample variance is s² = 38 and the second sample has s² = 42, do the data indicate that testing frequency has a significant effect on performance? Use a two-tailed test at the .05 level of significance.(Note: Because the two sample are the same size, the pooled variance is simply the average of the two sample variances.)
b.If the first sample variance is s² = 84 and the second sample has s² = 96, do the data indicate that testing frequency has a significant effect? Again, use a two-tailed test with α = .05.
c.Describe how the size of the variance affects the outcome of the hypothesis test.

Question

An educational psychologist studies the 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.

\begin{array} { l l } \text {FrequentQuizzes} &\text {Two Exams}\\\mathrm { n } = 20 & \mathrm { n } = 20 \\\mathrm { M } = 73 & \mathrm { M } = 68\end{array}

a.If the first sample variance is s² = 38 and the second sample has s² = 42, do the data indicate that testing frequency has a significant effect on performance? Use a two-tailed test at the .05 level of significance.(Note: Because the two sample are the same size, the pooled variance is simply the average of the two sample variances.)
b.If the first sample variance is s² = 84 and the second sample has s² = 96, do the data indicate that testing frequency has a significant effect? Again, use a two-tailed test with α = .05.
c.Describe how the size of the variance affects the outcome of the hypothesis test.

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The Answer of An educational psychologist studies the 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. $$\begin{array} { l l } \text {FrequentQuizzes} &\text {Two Exams}\ \mathrm { n } = 20 & \mathrm { n } = 20 \ \mathrm { M } = 73 & \mathrm { M } = 68 \end{array}$$ a.If the first sample variance is s² = 38 and the second sample has s² = 42, do the data indicate that testing frequency has a significant effect on performance? Use a two-tailed test at the .05 level of significance.(Note: Because the two sample are the same size, the pooled variance is simply the average of the two sample variances.) b.If the first sample variance is s² = 84 and the second sample has s² = 96, do the data indicate that testing frequency has a significant effect? Again, use a two-tailed test with α = .05. c.Describe how the size of the variance affects the outcome of the hypothesis test.

An Educational Psychologist Studies the Effect of Frequent Testing on Retention