Question

In: Statistics and Probability

Use Table 10 of Appendix B to determine a 95% confidence interval for the true population...

Use Table 10 of Appendix B to determine a 95% confidence interval for the true population linear correlation coefficient based on the following sample statistics. (Give your answers correct to two decimal places.)

(a) n = 8, r = 0.20


(b) n = 100, r = −0.40


(c) n = 25, r = 0.65


(d) n = 15, r = −0.25

Solutions

Expert Solution

Answer:-

Given That:-

Use Table 10 of Appendix B to determine a 95% confidence interval for the true population linear correlation coefficient based on the following sample statistics. (Give your answers correct to two decimal places.)

Z is approximately normaly distributed with

mean

variance

Confidence Interval on Z space

C.I

(a) n = 8, r = 0.20

C,I

C.I

ON or space

Upper limit

  

Lower limit

Here C.I for

Similarly:-

(b) n = 100, r = −0.40



(c) n = 25, r = 0.65


(d) n = 15, r = −0.25


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