In a college health fitness program, let X equal the weight in kilograms of a female freshman at the beginning of the program and let Y equal her change in weight during the semester. We shall use the following data for n = 16 observations of (x, y) to test the null hypothesis H0: ρ = 0 against a two-sided alternative hypothesis:

(a) What is the conclusion if α = 0.10?
(b) What is the conclusion if α = 0.05?

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(61.4,-3.2) (62.9, 1.4) (58.7, 3 (49.3, 0.6) (71.3, 0.2) (81.5,-2.2) (60.8, 0.9) (50.2, 0.2) (60.3, 2.0) (54.6, 0.3) (51.1, 3.7 (53.3, 0.2)