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
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.