In: Statistics and Probability
2. Recent data from graduates of KU School of Medicine in the past two years found that the mean starting salary for the 104 female physicians in their sample was $224,426.12 with a standard deviation of $27,792.73. For the 90 male physicians, the mean starting salary was $235,044.12 with a standard deviation of $33,509.25.
a) Is this sufficient evidence at alpha=.01 that among graduates of KU School of Medicine in the past two years the mean starting salary for men is higher than the mean starting salary for women? (10 points)
b) Is this sufficient evidence at alpha=.05 that among graduates of KU School of Medicine in the past two years the mean starting salary for men is higher than the mean starting salary for women? Explain.**You do not need to repeat all 5 steps for this part, just explain how you came to your conclusion (1 point)
c) Calculate and interpret a 96% confidence interval for the mean starting salaries of female physicians who graduated from KU School of Medicine. (6 points)
d) What is the margin of error for the interval that you calculated is part c? (2 points)