A random sample is drawn from a population with mean μ = 74 and standard deviation...

A random sample is drawn from a population with mean μ = 74 and standard deviation σ = 6.2. [You may find it useful to reference the z table.]

a. Is the sampling distribution of the sample mean with n = 18 and n = 47 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 = 18 will have a normal distribution.

No, only the sample mean with n = 47 will have a normal distribution.

b. Calculate the probability that the sample mean falls between 74 and 77 for n = 47. (Round intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places, and final answer to 4 decimal places.)

Expert Solution

TOPIC:Central limit theorem(CLT).

milcah answered 6 months ago

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