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A normal population has a mean of $75 and standard deviation of $5. You select random samples of 40. Apply the central limit theorem to

A normal population has a mean of $75 and standard deviation of $5. You select random samples of 40.

Apply the central limit theorem to describe the sampling distribution of the sample mean with n = 40. What condition is necessary to apply the central limit theorem?

What is the standard error of the sampling distribution of sample means?

What is the probability that a sample mean is less than $74?

What is the probability that a sample mean is between $74 and $76?

What is the probability that a sample mean is between $76 and $77?

What is the probability that the sampling error would be $1.50 or less?

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