If N = 15 for Each Sample, Which of the Following

question 19

Multiple Choice

If n = 15 for each sample, which of the following sets of data provides the clearest difference between the two samples?

• A)a sample mean difference of 5 points with s² = 5 for both samples
• B)a sample mean difference of 5 points with s² = 10 for both samples
• C)a sample mean difference of 10 points with s² = 5 for both samples
• D)a sample mean difference of 10 points with s² = 10 for both samples

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Definitions:

Population

A group of individuals, objects, or events that share common characteristics and are studied in statistics to draw inferences about their properties.

Sample

A subset of individuals or objects taken from the population of interest, used for statistical analysis.

Simple Random Sampling

A sampling method where each member of a population has an equal probability of being selected into the sample.

Sample Mean

The sample mean is the average value of a sample of data, calculated by summing all data points and dividing by the number of points.