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A random sample is drawn from a population with mean μ = 72 and standard deviation...

A random sample is drawn from a population with mean μ = 72 and standard deviation σ = 6.0. [You may find it useful to reference the z table.]

a. Is the sampling distribution of the sample mean with n = 17 and n = 45 normally distributed?

Yes, both the sample means will have a normal distribution.

No, both the sample means will not have a normal distribution.

No, only the sample mean with n = 17 will have a normal distribution.

No, only the sample mean with n = 45 will have a normal distribution.

b. Calculate the probability that the sample mean falls between 72 and 75 for n = 45.

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