The standard deviation of a population is known to be 7.8. If the sample size I'd 85, what is the standard error of the mean

The standard error of the mean is 0.85.

Step-by-step explanation:

The given standard deviation of a population (σ) = 7.8

sample size (N) = 85

We have to find standard error of the mean.

The formula to find standard error of the mean

= (standard deviation of the distribution) / (square root of sample size)

= (σ) / (√N)

= 7.8 / (√85)

= 7.8 / 9.219544457

= 0.8460

= 0.85 (approximately taken to two decimal places)

We have got the required answer.

The standard error of the mean is 0.85.