When Two Independent Random Samples of Sizes and

question 164

Multiple Choice

When two independent random samples of sizes and have been selected from populations with means and and variances and , respectively, which of the following is a property of the sampling distribution of ?

• A) If the sampled populations are normally distributed, then the sampling distribution ofis exactly normal only whenandare both 30 or more.
• B) If the sampled populations are normally distributed, then the sampling distribution ofis exactly normal regardless of the sizes ofand.
• C) If the sampled populations are not normally distributed, then the sampling distribution ofis approximately normally distributed regardless of the sizes ofand.
• D) If the sampled populations are not normally distributed, then the sampling distribution ofis approximately normally distributed only ifis 30 or more.

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Definitions:

Linear Dimensions

Measurements related to length, width, or height that define the size of an object in one direction.

Metric Drawings

Technical drawings using the metric system for dimensions and measurements, typically including millimeters (mm), centimeters (cm), or meters (m).

Decimal Equivalent

The decimal form representation of a fraction, percentage, or any number used to simplify calculations or understand measurements.

Mass Production

The manufacturing of large quantities of standardized products, often using assembly line techniques.