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

question 61

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.
-The mean annual income for adult women in one city is $28,520 and the standard deviation of the incomes is $5700. The distribution of incomes is skewed to the right. Determine the sampling
Distribution of the mean for samples of size 132.

• A)Approximately normal, mean = $28,520, standard deviation = $5700
• B)Normal, mean = $28,520, standard deviation = $43
• C)Approximately normal, mean = $28,520, standard deviation = $496
• D)Normal, mean = $28,520, standard deviation = $496

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Definitions:

Unitised

Refers to the conversion of a product or service into quantifiable units, typically for ease of calculation, tracking, or comparison.

Special Decisions

Decisions made in unique or non-recurring situations requiring specific analysis or responses.

Annual Operating Costs

The total expenses associated with the day-to-day functioning of a business or project over one year.

Useful Life

The estimated period over which an asset is expected to be usable for the purpose it was acquired, used for depreciation calculations.