Use the Given Information to Find the Minimum Sample Size

question 82

Multiple Choice

Use the given information to find the minimum sample size required to estimate an unknown population mean µ.
-How many women must be randomly selected to estimate the mean weight of women in one age group. We want 90% confidence that the sample mean is within 2.8 lb of the population mean, and the population standard deviation is known to be 27 lb.

• A) 358
• B) 253
• C) 252
• D) 250

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Definitions:

Normally Distributed Population

A type of population in which the variable of interest follows a bell curve, where most outcomes are near the mean, and extreme outcomes are rare.

Sampling Distribution

The likelihood distribution of a statistical measurement derived from numerous samples taken from a particular group of individuals or items.

Confidence Interval

A band of values gathered from sample data, which potentially contains the value of an undisclosed population attribute.

Sampled Population

The segment of the population from which the sample is taken for the purpose of a statistical study.