Answered: Let x be a random variable that…

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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Question

Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information.

x	0.338	0.306	0.340	0.248	0.367	0.269
y	3.5	7.7	4.0	8.6	3.1	11.1

Σx = 1.868, Σy = 38, Σx² = 0.592034, Σy² = 294.32, Σxy = 11.1556, and r ≈ -0.901.

Use a 10% level of significance to test the claim that ρ ≠ 0. (Use 2 decimal places.)

t
critical t ±

Conclusion

Reject the null hypothesis, there is sufficient evidence that ρ differs from 0.

Reject the null hypothesis, there is insufficient evidence that ρ differs from 0.

Fail to reject the null hypothesis, there is insufficient evidence that ρ differs from 0.

Fail to reject the null hypothesis, there is sufficient evidence that ρ differs from 0.

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