Suppose that the average distance PGA tour players can drive a golf ball off the tee is 295.3 yards with a standard deviation of 15.15 yards. Assuming that distance is normally distributed, complete each of the following parts: a. Sketch a normal curve for this distribution. Include labels for the mean and the bounds corresponding to the first empirical rule on the horizontal axis. (3 marks) b. What percentage of players can drive a golf ball between 287 and 303 yards off the tee? (4 marks) c. What driving distance marks the 80th percentile for this distribution? (3 marks) d. Suppose a randomly collected sample of 20 PGA tour players returned an average driving distance of 299.5 yards. Does this sample provide evidence that PGA tour players have an average driving distance that exceeds 295.3 yards at the 10% significance level? (8 marks)