The average teacher's salary in a certain state is $37,764. Assume a normal distribution with o=$5100. 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 answers at least four decimal places. (a) What is the probability that a randomly selected teacher's salary is greater than $41,000? P(X 41,000) #3 (b) For a sample of 75 teachers, what is the probability that the sample mean is greater than $38.300? PX38,300)

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Numb 3. 6.3 Please round 4 dec places.
The average teacher's salary in a certain state is $37,764. Assume a normal distribution with o = $5100. 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
answers at least four decimal places.
(a) What is the probability that a randomly selected teacher's salary is greater than $41,000?
P(X> 41,000)
(b) For a sample of 75 teachers, what is the probability that the sample mean
PN 38,300
#3
greater than $38.300?
Transcribed Image Text:The average teacher's salary in a certain state is $37,764. Assume a normal distribution with o = $5100. 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 answers at least four decimal places. (a) What is the probability that a randomly selected teacher's salary is greater than $41,000? P(X> 41,000) (b) For a sample of 75 teachers, what is the probability that the sample mean PN 38,300 #3 greater than $38.300?
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