Question: 39. Constructing Confidence Intervals for r When obtaining samples of n paired values from a population with a correlation coefficient of r, the distribution of

39. Constructing Confidence Intervals for r When obtaining samples of n paired values from a population with a correlation coefficient of r, the distribution of linear correlation coefficients r is not a normal distribution, but values of have a distribution that is approximately normal with mean and standard deviation . This conversion of r values to z values is referred to as a Fisher transformation. This Fisher transformation can be used to construct a confidence interval estimate of the population parameter r. Use the following procedure to construct a 95% confidence interval for r, given 50 pairs of data for which r 0.600.

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a. Use Table A-2 to find that corresponds to the desired degree of confidence.

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b. Evaluate the interval limits wL and wR:

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c. Now evaluate the confidence interval limits in the expression below.

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