Question

For a population with a mean equal to 250 and a standard deviation equal to 35​, calculate the standard error of the mean for the following sample sizes.

​a) 10

​b)  40

​c)  70

The standard error of the mean for a sample size of 10 is

The standard error of the mean for a sample size of 40 is

The standard error of the mean for a sample size of 70 is

Answer 1

Solution :

Given that ,

mean = = 250

standard deviation = = 35

(a)n = 10

standard error= =  / n= 35 / 10= 11.0680

(b)n = 40

standard error= =  / n= 35 / 40= 5.5340

(c)n = 70

standard error= =  / n= 35 / 70= 4.1833