Question

An unknown distribution has a mean of 120 and a standard deviation of 15. Sample of size n = 19 are drawn randomly from the population. What is the the standard error of the mean for this sample?

Answer 1

The standard error of the mean for a sample size of 19 drawn from a population with a mean of 120 and a standard deviation of 15 is approximately 3.44.

Step-by-step explanation:

The standard error of the mean can be calculated using the formula:

Standard Error = (Standard Deviation) / sqrt(sample size)

In this case, the standard deviation is 15 and the sample size is 19.

Plugging these values into the formula, we get:

Standard Error = 15 / sqrt(19)

We can find that the standard error is approximately 3.44.