Question

For a population with a mean equal to 150 and a standard deviation equal to 25, calculate the standard error of the mean for the following sample sizes. a) 20 b) 40 c) 60

a) The standard error of the mean for a sample size of 20 is .______ (Round to two decimal places as needed.)

b) The standard error of the mean for a sample size of 40 is . ______(Round to two decimal places as needed.)

c) The standard error of the mean for a sample size of 60 is .______ (Round to two decimal places as needed.)

Answer 1

Solution :

Given that,

mean = = 150

standard deviation = = 25

a)

n = 20

= 150

= / n = 25 / 20 = 5.59

The standard error of the mean for a sample size of 20 is 5.59

b)

n = 40

= 150

= / n = 25 / 40 = 3.95

The standard error of the mean for a sample size of 40 is 3.95

c)

n = 60

= 150

= / n = 25 / 60 = 3.23

The standard error of the mean for a sample size of 60 is 3.23