Question: Psychology and Human Behavior A random sample of male college athletes was obtained and their coping skills levels were measured by means of an extensive psychological profile. Each athlete was also classified by sport. The table below summarizes the information obtained.
a. Find a 95% confidence interval for the true mean coping skills level for all male athletes in each sport.
b. Use your answers to part (a) to determine whether there is any evidence to suggest that the mean coping skills level for male basketball players is different from that of male football players. Justify your answer.
c. How large a sample is necessary for the bound on the error of estimation for each confidence interval in part (a) to be 2?