The average teacher's salary in Connecticut (ranked first among states) is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500. Round intermediatez value calculations to two decimal places and the final answers to four decimal places. Source: New York Times Almanac. Part 1 What is the probability that a randomly selected teacher makes less than $46,800 per year? P(X < 46,800)= 0.0808 Part 2 out of 2 If we sample 85 teachers' salaries, what is the probability that the sample mean is less than $56,200? Assume that the sample is taken from a large population and the correction factor can be ignored. P(X <56,200)
