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For a particular year, a random sample of size n = 30 of a large firm's employees yields a sample correlation coefficient of -0.25 between
For a particular year, a random sample of size n = 30 of a large firm's employees yields a sample correlation coefficient of -0.25 between age at the beginning of the year (X) and number of days absent from work during the year (Y). Assuming that the random variables X and Y are approximately bivariate normally distributed, perform a 2-tail test of the hypothesis that the population correlation coefficient between the variables equals 0. Use a significance level of 5%
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