Question

Eighteen new members of a health club were given a fitness test. Their Percent Overweight X was recorded, and their Heartbeat Adjustment After Treadmill Exercise Y was measured. The sample correlation coefficient was r=0.35. In order to estimate a 95% confidence interval for the true correlation coefficient of all new members, past, present, and future, the bootstrap method was used. Three hundred bootstrap samples, ordered from smallest to largest, yielded the ten smallest values of r* to be

-0.15, -0.06, -0.02, 0.01, 0.03, 0.03, 0.05, 0.06, 0.07, 0.09

and the ten largest values of r* to be

0.51, 0.53, 0.53, 0.55, 0.56, 0.57, 0.59, 0.59, 0.60, 0.62

Find an approximate 95% confidence interval for the population correlation coefficient.

Answer 1