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 b Find the probability that exceeds 1 3 c Find the probability that the sample mean is less than 5 d Find the probability that the sample mean deviates from the population mean 1 by more than 4

Question: Suppose a random sample of n = 5 observations is selected from a population that is normally distributed, with mean equal to 1 and standard

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 of .
b. Find the probability that exceeds 1.3.
c. Find the probability that the sample mean 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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