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

1 answer

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

Standard Error = Standard Deviation / Square Root of Sample Size

In this case, the standard deviation is given as 16 and the sample size is 64. Plugging these values into the formula:

Standard Error = 16 / √64
Standard Error = 16 / 8
Standard Error = 2

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