What is the standard error of the mean for a sample with s = 6 and n = 16?

Prepare for the PHFO Quantitative Analysis For Business Exam. Study with flashcards, multiple choice questions, hints, and explanations to ensure confidence and success in your exam!

Multiple Choice

What is the standard error of the mean for a sample with s = 6 and n = 16?

Explanation:
The standard error of the mean shows how much a sample mean would vary if you took many samples from the population. It is calculated as the sample standard deviation divided by the square root of the sample size. With s = 6 and n = 16, you get SEM = 6 / √16 = 6 / 4 = 1.5. That matches the given value. The other numbers reflect different denominators (or using the standard deviation itself, without accounting for sample size) and don’t fit the provided s and n.

The standard error of the mean shows how much a sample mean would vary if you took many samples from the population. It is calculated as the sample standard deviation divided by the square root of the sample size. With s = 6 and n = 16, you get SEM = 6 / √16 = 6 / 4 = 1.5. That matches the given value. The other numbers reflect different denominators (or using the standard deviation itself, without accounting for sample size) and don’t fit the provided s and n.

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