A random sample is drawn from a population with mean 64 and standard deviation 5 3 You may find it useful to reference the z table a Is the sampling distribution of the sample mean with n 17 and n 34 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 34 will have a normal distribution b Calculate the probability that the sample mean falls between 64 and 66 for n 34 (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 = 64 and standard deviation = 5.3. [You may find it useful to reference the

A random sample is drawn from a population with mean= 64 and standard deviation= 5.3.[You may find it useful to reference thez table.]

a.Is the sampling distribution of the sample mean withn= 17 andn= 34 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 withn= 17 will have a normal distribution.
No, only the sample mean withn= 34 will have a normal distribution.

b.Calculate the probability that the sample mean falls between 64 and 66 forn= 34.(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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