(a) Suppose n = 6 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = 3.862 critical t= 4.03 X Conclusion: OYes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance. O No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance. (b) Suppose n = 10 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = 5.462 critical t = 3.25 X Conclusion: lo Yes, the correlation coefficient is significantly different from 0 at the 0.01 level of significance.
(a) Suppose n = 6 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = 3.862 critical t= 4.03 X Conclusion: OYes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance. O No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance. (b) Suppose n = 10 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = 5.462 critical t = 3.25 X Conclusion: lo Yes, the correlation coefficient is significantly different from 0 at the 0.01 level of significance.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Related questions
Question

Transcribed Image Text:(a) Suppose n = 6 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a
two-tailed test)? (Round your answers to three decimal places.)
t = 3.862
critical t = 4.03
X
Conclusion:
Yes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance.
No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance.
(b) Suppose n = 10 and the sample correlation coefficient is r = 0.888. Is r significant at the 1% level of significance (based on a
two-tailed test)? (Round your answers to three decimal places.)
t = 5.462
critical t = 3.25
X
Conclusion:
Yes, the correlation coefficient p is significantly different from 0 at the 0.01 level of significance.
No, the correlation coefficient p is not significantly different from 0 at the 0.01 level of significance.
(c) Explain why the test results of parts (a) and (b) are different even though the sample correlation coefficient r = 0.888 is the
same in both parts. Does it appear that sample size plays an important role in determining the significance of a correlation
coefficient? Explain.
As n increases, so do the degrees of freedom, and the test statistic. This produces a smaller P value.
As n increases, the degrees of freedom and the test statistic decrease. This produces a smaller P value.
As n decreases, the degrees of freedom and the test statistic increase. This produces a smaller P value.
As n increases, so do the degrees of freedom, and the test statistic. This produces a larger P value.
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