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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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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