In: Statistics and Probability
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
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