SOLUTION: The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample o

Question 1133772: The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual.
For a sample of n =75, find the probability of a sample mean being greater than
217 if μ= 216 and σ= 6.1.
For a sample of n=75, the probability of a sample mean being greater than
217 if μ=216 and σ= 6.1 is?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(xbar-mean)/sigma/sqrt(n)
=1/(6.1/sqrt(75)
=sqrt(75)/6.1=1.42
0.0778 is the probability, about 1 in 14. This would be uncommon but not real unusual. If one uses the artificial 5% significance level, it would not reach significance.
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