A population has a mean of μ = 30 and a standard deviation of σ = 8 A) If the population distribution is normal, what is the probability of obtaining a sample mean greater than M = 32 for a sample of n = 4?  B) If the population distribution is positively skewed, what is the probability of obtaining a sample mean greater than M = 32 for a sample of n = 4? C) If the population distribution is normal, what is the probability of obtaining a sample mean greater than M = 32 for a sample of n = 64?

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A population has a mean of μ = 30 and a standard deviation of σ = 8

A) If the population distribution is normal, what is the probability of obtaining a sample mean greater than M = 32 for a sample of n = 4? 

B) If the population distribution is positively skewed, what is the probability of obtaining a sample mean greater than M = 32 for a sample of n = 4?

C) If the population distribution is normal, what is the probability of obtaining a sample mean greater than M = 32 for a sample of n = 64? 

D) If the population distribution is positively skewed, what is the probability of obtaining a sample mean greater than M = 32 for a sample of n = 64?

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