The Following Samples Were Selected by Two Researchers

question 66

Multiple Choice

The following samples were selected by two researchers.Which is associated with a smaller standard error of the mean?
Researcher A: n = 36, = 12, = 9
Researcher B: n = 36, = 12, = 6

• A)Researcher A
• B)Researcher B
• C)They both have the same standard error.

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Definitions:

SRS

Simple Random Sampling (SRS) is a method of selecting individuals from a population in such a way that every set of individuals has an equal chance of being chosen.

Sample Size

The number of observations or data points that constitute a sample drawn from a population for statistical analysis.

Standard Deviation

A measure of the amount of variation or dispersion in a set of values, showing how much each value in the set varies from the mean.

Binomial Populations

Populations for which the outcomes can be classified into two categories (success/failure) and the number of successes in a set number of trials can be predicted.