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:

Technology

The application of scientific knowledge for practical purposes, specifically in industry and commerce, including the development and use of digital tools and systems.

Straight-Line Method

An accounting method of depreciation where the value of a fixed asset is reduced uniformly over its useful life.

Depreciable Amount

The cost of an asset, or other amount substituted for cost, less its residual value.

Residual Value

The estimated amount that an asset will realize upon its disposal at the end of its useful life after deducting expected costs of disposal.