Identify the Distribution of the Sample Mean $\bar { x }$

question 67

Multiple Choice

Identify the distribution of the sample mean. In particular, state whether the distribution of $\bar { x }$ is normal or approximately normal and give its mean and standard deviation.
-For the population of one town, the number of siblings, $x$ , is a random variable whose relative frequency histogram has a reverse J-shape. The mean number of siblings is $1.1$ and the standard deviation is 1.3. Let $\bar { x }$ denote the mean number of siblings for a random sample of size 39 .
Determine the sampling distribution of the mean for samples of size 39 .

• A)Normal, mean \(= 1.1\), standard deviation \(= 1.3\)
• B) Approximately normal, mean \(= 1.1\), standard deviation \(= 0.21\)
• C) Normal, mean \(= 1.1\), standard deviation \(= 0.21\)
• D) Approximately normal, mean \(= 1.1\), standard deviation \(= 1.3\)

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Long-Term Care Facility

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Foley Catheter

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