Suppose a random sample of n = 5 observations is selected from a population that is normally distributed, with mean equal to 1 and standard deviation equal to .36.
a. Give the mean and standard deviation of the sampling distribution of ̅x.
b. Find the probability ̅x that exceeds 1.3.
c. Find the probability that the sample mean ̅x is less than .5.
d. Find the probability that the sample mean deviates from the population mean µ = 1 by more than .4.
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