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

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Question 1176495: 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=70, find the probability of a sample mean being greater than 221 if u=220 and o=5.7 is = ?
(Round to four decimal places as needed)

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x bar-mean)/sigma/sqrt(n)
> (221-220)*sqrt(70)/5.7
>1.47
that probability is 0.0708
That probability would not be considered unusual at the 5% level but would be at the 10% level of significance.