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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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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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