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(a) Suppose n= 6 and the sample correlation coefficient is r= 0.892. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) critical t Conclusion: O Yes, 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- 0.892. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t- critical t Conclusion: O Yes, 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. important role in determining the significance of a correlation coefficient? Explai (c) Explain why the test results of parts (a) and (b) are different even though the sample correlation coefficient r= 0.892 is the same in both parts. Does it appear that sample size plays O As n increases, so do the degrees of freedom, and the test statistic. This produces a smaller P value. O As n increases, the degrees of freedom and the test statistic decrease. This produces a smaller P value. O As n decreases, the degrees of freedom and the test statistic increase. This produces a smaller P value. O As n increases, so do the degrees freedom, and the test statistic. This produces a larger P value.

(a) Suppose n= 6 and the sample correlation coefficient is r= 0.892. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) critical t Conclusion: O Yes, 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- 0.892. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t- critical t Conclusion: O Yes, 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. important role in determining the significance of a correlation coefficient? Explai (c) Explain why the test results of parts (a) and (b) are different even though the sample correlation coefficient r= 0.892 is the same in both parts. Does it appear that sample size plays O As n increases, so do the degrees of freedom, and the test statistic. This produces a smaller P value. O As n increases, the degrees of freedom and the test statistic decrease. This produces a smaller P value. O As n decreases, the degrees of freedom and the test statistic increase. This produces a smaller P value. O As n increases, so do the degrees freedom, and the test statistic. This produces a larger P value.

MATLAB: An Introduction with Applications
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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(a) Suppose n = 6 and the sample correlation coefficient is r = 0.892. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = critical t= Conclusion: O Yes, 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 = 0.892. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = critical t= Conclusion: O Yes, 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. (c) Explain why the test results of parts (a) and (b) are different even though the sample correlation coefficient r = 0.892 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. O As n increases, so do the degrees of freedom, and the test statistic. This produces a smaller P value. O As n increases, the degrees of freedom and the test statistic decrease. This produces a smaller P value. O As n decreases, the degrees of freedom and the test statistic increase. This produces a smaller P value. O As n increases, so do the degrees of freedom, and the test statistic. This produces a larger P value.
Transcribed Image Text:(a) Suppose n = 6 and the sample correlation coefficient is r = 0.892. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = critical t= Conclusion: O Yes, 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 = 0.892. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) t = critical t= Conclusion: O Yes, 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. (c) Explain why the test results of parts (a) and (b) are different even though the sample correlation coefficient r = 0.892 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. O As n increases, so do the degrees of freedom, and the test statistic. This produces a smaller P value. O As n increases, the degrees of freedom and the test statistic decrease. This produces a smaller P value. O As n decreases, the degrees of freedom and the test statistic increase. This produces a smaller P value. O As n increases, so do the degrees of freedom, and the test statistic. This produces a larger P value.
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