Consider a large population with a mean of 150 and standard deviation of 27. a random sample of size 25 is taken from the population. calculate the standard error of the sampling distribution of this sample mean and round your answer to the hundredths place.

Respuesta :

Answer:

Standard error = 5.4

Step-by-step explanation:

We are given that Population Mean, [tex]\mu[/tex] = 150 and Population Standard deviation, [tex]\sigma[/tex] = 27  and sample size, n = 25

Standard error formula for the sampling distribution of this sample mean is given by;

 Standard error = [tex]\frac{\sigma}{\sqrt{n} }[/tex] = [tex]\frac{27}{\sqrt{25} }[/tex] = 5.4