Refer to Example 6.7. In this example, an insurance adjuster wanted to know the degree to which the two garages were in agreement on their estimates of automobile repairs. The data given below are the estimated costs from the two garages for repairing 15 cars.

a. Compute the correlation between the car repair estimates from the two ­garages.
b. Calculate a 95% confidence interval for the correlation coefficient.
c. Does the very large positive value for the correlation coefficient indicate that the two garages are providing nearly identical estimates for the repairs? If not, explain why this statement is wrong.

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Car 123 4 5 6789 10 12 13 14 15 Garage I 176 202 195 113 13.0 163 153 16.2 12.2 148 213 22.1 169 17.6 184 Garage II 17.3 19.1 184 115 12.7 15.8 149 153 12.0 142 210 210 161 16.7 175