Problem 4: Susan Sound predicts that students will learn most effectively with a constant background sound, as opposed to no sound at all. She randomly divides sixteen students into two groups of eight. All students study a passage of text for 30 minutes. Those in group 1 study with background sound at a constant volume in the background. Those in group 2 study with no sound at all. After studying, all students take a 10 point multiple choice test over the material. Assuming equal population variance, do the data provide sufficient evidence to indicate that the mean scores differ between two groups with a 0.1 significance level? Their scores follow. For the constant sound group: 1, 10, 1, 10, 1, 9, 7, 3. And for the no sound group: 4, 3, 6, 4, 5, 8, 4, 9. A. Assume that the standard deviations are equal and find the test statistic for the test that the between mu1 and mu2 is zero.
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