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A random sample of n = 16 scores is selected from a normal distribution with a mean of μ = 50 and standard deviation of σ = 10.

a) What is the probability that the sample mean will have a value between 45 and 55?

b) What is the probability that the sample mean will have a value between 48 and 52?

c) What range of values has a 95% probability of containing the sample mean?

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