Question

Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.

x	66	71	81	70	89	73
y	41	44	50	43	51	54

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Verify that ∑x = 450, ∑y = 283, ∑x² = 34,108, ∑y² = 13,483, ∑xy = 21,371, and r = 0.665, and find the critical value for a test using a 1% level of significance claiming that ρ is not equal than zero. Round your answer to three decimal places.

Group of answer choices

2.015

2.571

1.476

4.604

4.032

Answer 1

Solution :

Given that ,

n = 6

df = 6 - 2 = 4

= 0.01

/ 2 = 0.005

t _0.005,4 = +/-4.604

Critical value = 4.604