Question 1169258: (b) Find the z value corresponding to x bar = 51
z =
(c) Find P(x bar < 51). (Enter a number. Round your answer to four decimal places.)
P(x bar < 51) =
(d) Would it be unusual for a random sample of size 36 from the x distribution to have a sample mean less than 51? Explain.
Yes, it would be unusual because more than 5% of all such samples have means less than 51.
Yes, it would be unusual because less than 5% of all such samples have means less than 51.
No, it would not be unusual because less than 5% of all such samples have means less than 51.
No, it would not be unusual because more than 5% of all such samples have means less than 51.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! need more information as to the actual mean and sd of the population or of the sample.
z+(x bar-mu)/sigma/sqrt(n)
This has an approximately normal distribution, not exact because the original distribution is unknown.
With mean of 60 and sd of 27 and sample size of 36 the SEM is 27/sqrt(36)=4.5
Therefore p (x bar) <51 is p(z<-2) or 0.0228.
It would be unusual B.
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