A random sample is drawn from a population with mean 66 and standard deviation 5 5 You may find it useful to reference the z table a Is the sampling distribution of the sample mean with n 16 and n 36 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 16 will have a normal distribution No, only the sample mean with n 36 will have a normal distribution b Calculate the probability that the sample mean falls between 66 and 68 for n 36 (Round intermediate calculations to at least 4 decimal places, z value to 2 decimal places, and final answer to 4 decimal places )

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Question: A random sample is drawn from a population with mean = 66 and standard deviation = 5.5. [You may find it useful to reference the

A random sample is drawn from a population with mean = 66 and standard deviation = 5.5. [You may find it useful to reference the z table.].

a. Is the sampling distribution of the sample mean with n = 16 and n = 36 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 = 16 will have a normal distribution.
No, only the sample mean with n = 36 will have a normal distribution.

b. Calculate the probability that the sample mean falls between 66 and 68 forn = 36. (Round intermediate calculations to at least 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.)

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