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Suppose a random sample of n=36 measurements is selected from a population with mean u=256 and...

Suppose a random sample of n=36 measurements is selected from a population with mean u=256 and variance o^2=144.

a. Describe the sampling distribution of the sample mean x bar. (Hint: describe the shape, calculate the mean and the standard deviation of the sampling distribution of x bar.

b. What is the probability that the sample mean is greater than 261?

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