Suppose that, in a study on geographic variation in a certain species of beetle, the mean tibia length (U) and the mean tarsus length (V) were obtained for samples of size 50 from each of 10 different regions spanning five southern states. Suppose further that the results were as given in the following table.

a. Determine the sample correlation coefficient between mean tarsus length and mean tibia length.
b. Find a 99% confidence interval for p. Interpret your results with respect to the hypotheses H0: p = 0 versus HA: p ‰  0.

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Region1 6 8 10 7.500 7.164 7.512 8.544 7.380 7.860 7836 8.100 7.584 7.344 1.680 1.596 1.680 1.908 .632 .752 1.776 1.860 692 1.680