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

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

• A. 3.0
• B. 0.75
• C. 1.5
• D. 6.0

Answer: (C)

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.