An unknown distribution has a mean of 90 and a standard deviation of 16. Samples of size n=64 are drawn randomly from the population. What is the standard deviation of sample mean?

Answer 1

The standard deviation of the sample mean (also known as the standard error) can be calculated using the formula:

Standard deviation of sample mean = Standard deviation / √(sample size)

In this case, the standard deviation of the population is given as 16 and the sample size is 64. So, we can substitute these values into the formula:

Standard deviation of sample mean = 16 / √(64)

Taking the square root of 64 gives us:

Standard deviation of sample mean = 16 / 8

Simplifying further, we have:

Standard deviation of sample mean = 2

Therefore, the standard deviation of the sample mean is 2.