The Following Histogram Shows the Distribution of 1000 Sample Observations

question 29

Multiple Choice

The following histogram shows the distribution of 1000 sample observations from a population with a mean of  = 4 and a variance of ² = 8. Suppose a simple random sample of 100 observations is to be selected from the population and the sample average is calculated.Which of the following statements about the distribution of is/are FALSE?

• A)The distribution of will have a mean of 4.
• B)The distribution will be approximately Normal.
• C)Because the distribution shown in the histogram above is clearly skewed to the right,the shape of the distribution of will also show skewness to the right.
• D)Even though the distribution of the population variable appears to be skewed to the right,the distribution of will be approximately symmetric around  = 4.
• E)The standard deviation of the distribution of will be 0.283.

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Definitions:

Unit Product Cost

The cumulative expense of manufacturing a single product unit, encompassing direct materials, direct labor, and overhead costs related to production.

Predetermined Overhead Rate

A rate used to allocate overhead costs to products or services, calculated before the actual costs are known, based on estimated costs.

Overhead Rate

A measure used to allocate overhead costs to products or services, often calculated by dividing total overheads by a base measure such as labor hours or machine hours.

Estimated Labor-Hours

The projected number of labor hours required to complete a batch of goods or provide a service.