The average teachers' salary in a certain state is $57.337. Suppose that the distribution of salaries is normal with a standard deviation of $7500. Assume that the sample is taken from a large population and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places. Part 1 of 2 (a) What is the probability that a randomly selected teacher makes less than $50,000 per year? P(X< 50,000) = | 0.164 Part: 1/ 2 Part 2 of 2 (b) If we sample 80 teachers' salaries, what is the probability that the sample mean is less than $55,500? P(X<55,500) = 0.142 の

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The average teachers' salary in a certain state is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500. Assume that
the sample is taken from a large population and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least
four decimal places.
Part 1 of 2
(a) What is the probability that a randomly selected teacher makes less than $50,000 per year?
P(X< 50,000) =
=0.164
Part: 1/ 2
Part 2 of 2
(b) If we sample 80 teachers' salaries, what is the probability that the sample mean is less than $55,500?
P(X<55,500) = |0.142
Transcribed Image Text:The average teachers' salary in a certain state is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500. Assume that the sample is taken from a large population and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places. Part 1 of 2 (a) What is the probability that a randomly selected teacher makes less than $50,000 per year? P(X< 50,000) = =0.164 Part: 1/ 2 Part 2 of 2 (b) If we sample 80 teachers' salaries, what is the probability that the sample mean is less than $55,500? P(X<55,500) = |0.142
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