A Sample of N = 4 Scores Is Selected from a Normal

question 71

Multiple Choice

A sample of n = 4 scores is selected from a normal population with a mean of µ = 50 and a standard deviation of σ = 20.What is the probability of obtaining a sample mean greater than M = 48?

• A)p = 0.6554
• B)p = 0.3446
• C)p = 0.5793
• D)p = 0.4207

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Definitions:

SAT Math Scores

The quantitative section scores of the Scholastic Aptitude Test, which assess mathematical reasoning and aptitudes.

Significance Level

The threshold for determining the statistical significance of an experiment or study, often denoted by alpha (α), representing the probability of rejecting the null hypothesis when it is true.

Null Hypothesis

A hypothesis that there is no significant difference or effect, serving as the default assumption to be tested against an alternative hypothesis in statistical analysis.

Population Means

The average value of a particular characteristic across the entire population studied.