1. Mike and Ike are experts at pitching horseshoes. A total of 70% of Mike's tosses are ringers (that is, the horseshoe encircles the. stake when it lands), while 67 Yo of Ike s tosses are ringers. Suppose we take separate random samples of 50 horseshoe tosses from Mike and Ike, and record the proportion of ringers each one gets. Which of the following best describes the sampling distribution of P(hat)M - P(hat)I? (show your work)

(a) Normal with mean 0.03 and standard deviation 0.131

(b) approximately normal with mean 0.03 and standard deviation 0.131

(c) Normal with mean 0.03 and standard deviation 0.0929

(c) Approximately normal with mean 0.03 and standard deviation 0.0929