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Determine When the Sample-Mean Distribution Is Normal
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DSST
DSSTSTAT.175 Determine When the Sample-Mean Distribution Is Normal
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A population mean is unknown, but a researcher knows the population distribution is normal. What does the unknown mean imply for the shape of x-bar?
A
The x-bar distribution is normal; the unknown mean affects where it is centered, not whether it is normal.
B
The x-bar distribution becomes uniform until the mean is estimated.
C
The x-bar distribution is normal only when the sample mean equals zero.
D
The x-bar distribution is not normal because the center is unknown.
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