A random sample is drawn from a normally distributed population with mean μ = 24 and...
A random sample is drawn from a normally distributed population with mean μ = 24 and standard deviation σ = 1.6.
a. Are the sampling distribution of the sample mean with n = 32 and n = 63 normally distributed?
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Yes, both the sample means will have a normal distribution.
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No, both the sample means will not have a normal distribution.
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No, only the sample mean with n = 32 will have a normal distribution.
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No, only the sample mean with n = 63 will have a normal distribution.
b. Calculate the probabilities that the sample mean is less than 24.6 for both sample sizes. (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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