SOLUTION: Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with σ = $5100.
a) What is the probability that a randoml
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Question 1184448: Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $35,441. Assume a normal distribution with σ = $5100.
a) What is the probability that a randomly selected teacher's salary is greater than $38,900?
b) For a sample of 50 teachers, what is the probability that the sample mean is greater than $35,655? Assume that the sample is taken from a large population and the correction factor can be ignored
Round the final answers to at least 4 decimal places and round intermediate z-value calculations to 2 decimal places.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sigma
>(38900-35441)/5100=0.68
0.2483 probability
-
z=(x bar -mean)/ sigma/ sqrt(n)=(35655-35441)/5100/sqrt(50)=0.30
probability z > 0.30 is 0.3821
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