A random sample is drawn from a normally distributed population with mean μ = 25 and standard deviation σ = 1.5.
a. Are the sampling distributions of the sample mean with n = 33 and n = 66 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 = 33 will have a normal distribution.
No, only the sample mean with n = 66 will have a normal distribution.
b. Calculate the probabilities that the sample mean is less than 25.7 for both sample sizes. (Round answers to 4 decimal places.)
n Probability
33
66
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