A random sample of size n = 50 is taken from a population with mean =

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A random sample of size n = 50 is taken from a population with mean μ = −9.5 and standard deviation σ = 2.

Calculate the expected value and the standard error for the sampling distribution of the

a. Sample mean.

b. What is the probability that the sample mean is less than −10?

c. What is the probability that the sample mean falls between −10 and −9?

Distribution
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