(a) Suppose n = 6 and the sample correlation coefficient is r = 0.884. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) n USE SALT 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 = 0.884. 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 = 0.884 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. 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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11)
(a) Suppose n = 6 and the sample correlation coefficient is r = 0.884. Is r
significant at the 1% level of significance (based on a two-tailed test)?
(Round your answers to three decimal places.)
n USE SALT
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 = 0.884. 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 = 0.884 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.
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 = 0.884. Is r significant at the 1% level of significance (based on a two-tailed test)? (Round your answers to three decimal places.) n USE SALT 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 = 0.884. 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 = 0.884 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. 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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