A sample of n = 16 scores is selected from a population with μ = 70 and σ = 8.It is very unlikely that the sample mean will be greater than 78.

Name: A sample of n = 16 scores is selected from a population with μ = 70 and σ = 8.It is very unlikely that the sample mean will be greater than 78.
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Quizplus · Accepted Answer

The standard error of the mean (SEM) is σ/√n = 8/√16 = 2. A sample mean of 78 is 4 SEMs above the population mean (70), which is highly unlikely in a normal distribution.

A Sample of N = 16 Scores Is Selected from a Population