For a data set of chest sizes (distance around chest in inches) and weights (pounds) of four anesthetized bears that were measured, the linear correlation coefficient is r=0.956. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation? Click the icon to view the table of critical values of r. The critical values are (Type integers or decimals. Do not round. Use a comma to separate answers as needed.) Since the correlation coefficient r is correlation. in the left tail below the negative critical value in the right tail above the positive critical value between the critical values Table of Critical Values of r Number of Pairs of Data n 4 5 6 7 there -89OH2 10 11 12 sufficient evidence to support the claim of a linear Critical Value of r 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 - X

A New York Times article titled For Runners, Soft Ground Can Be Hard on the Body considered two perspectives on whether runners should stick to hard surfaces or soft surfaces following an injury. One position supported running on soft surfaces to relieve joints that were in recovery from injury. The second position supported running on hard surfaces since soft surfaces can be uneven, which may make worse those injuries a soft surface was intended to help. Suppose we are given sufficient funds to run an experiment to study this topic. With no studies to support either position, which of the following hypotheses would be appropriate? The first position is more sensible, so this should be a one-sided test. In this case, we should form the alternative hypothesis around the second position. The second position makes the more sense, so this should be a one-sided test. In this case, we should form the alternative hypothesis around the first position. Because we would be interested in any…

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