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I need help  A researcher finds the mean of X is 69.73, the mean of Y is 65.07, sx is 15.78, sy is 14.54, and r = .902. The t for dependent samples is 2.65 with 14 degrees of freedom, so the statistical conclusion is to reject H0. Suppose that these data were from two samples drawn independently (rather than them being dependent). (a) Calculate t for two independent means (as in Chapter 15). (b) Is the obtained t smaller or larger than the t for dependent samples? Why? (c) In general, if r = 0 what effect would it have for the dependent-samples t test?

I need help  A researcher finds the mean of X is 69.73, the mean of Y is 65.07, sx is 15.78, sy is 14.54, and r = .902. The t for dependent samples is 2.65 with 14 degrees of freedom, so the statistical conclusion is to reject H0. Suppose that these data were from two samples drawn independently (rather than them being dependent). (a) Calculate t for two independent means (as in Chapter 15). (b) Is the obtained t smaller or larger than the t for dependent samples? Why? (c) In general, if r = 0 what effect would it have for the dependent-samples t test?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A researcher finds the mean of X is 69.73, the mean of Y is 65.07, sx is 15.78, sy is 14.54, and r = .902. The t
for dependent samples is 2.65 with 14 degrees of freedom, so the statistical conclusion is to reject H0.
Suppose that these data were from two samples drawn independently (rather than them being dependent).
(a) Calculate t for two independent means (as in Chapter 15).
(b) Is the obtained t smaller or larger than the t for dependent samples? Why?
(c) In general, if r = 0 what effect would it have for the dependent-samples t test?

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