Question: Given the following observations on random variable X and Y, (a) calculate the correlation coefficient; (b) using a level of significance of 5%, test the

Given the following observations on random variable X and Y,

(a) calculate the correlation coefficient;

(b) using a level of significance of 5%, test the null hypothesis that the two variables are uncorrelated;

(c) using a level of significance of 1%, test the null hypothesis that the population correlation is 0.8.

X 4 3 9 6 8 Y 3 6 8 8 10

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