Question 756525: Identify the distribution of the sample mean. In particular, state whether the distribution of is normal or approximately normal and give its mean and standard deviation.
The heights of people in a certain population are normally distributed with a mean of and a standard deviation of . Determine the sampling distribution of the mean for samples of size 36.
Answers. a. Normal, mean = 66 inches, standard deviation = 0.09 inches
b. Normal, mean = 66 inches, standard deviation = 3.1 inches
c. Approximately normal, mean = 66 inches, standard deviation = 0.09 inches
d. Normal, mean = 66 inches, standard deviation = 0.52 inches
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Identify the distribution of the sample mean. In particular, state whether the distribution of is normal or approximately normal and give its mean and standard deviation.
The heights of people in a certain population are normally distributed with a mean of 66 inches and a standard deviation of 3.1 inches. Determine the sampling distribution of the mean for samples of size 36
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Normal, mean = 66, std = 3.1/sqrt(36) = 0.52
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cheers,
Stan H.
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Answers.
a. Normal, mean = 66 inches, standard deviation = 0.09 inches
b. Normal, mean = 66 inches, standard deviation = 3.1 inches
c. Approximately normal, mean = 66 inches, standard deviation = 0.09 inches
d. Normal, mean = 66 inches, standard deviation = 0.52 inches
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Essential numbers are missing in your post.
Cheers,
Stan H.
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