Question

As random sample of size 81 are taken from large population,with a mean of 180 and variance of 324 .the sampling distribution of the mean has a standard error of

Answer 1

The standard error of the mean can be calculated by dividing the population standard deviation by the square root of the sample size.

Step-by-step explanation:

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

Standard Error (SE) = Population Standard Deviation / √Sample Size

In this scenario, the population standard deviation is 18 (since the variance is 324), and the sample size is 81. Therefore, the standard error of the mean is:

SE = 18 / √81 = 18 / 9 = 2