Question

A random sample of n observations is selected from a population with standard deviation σ = 1. Calculate the standard error of the mean (SE) for these values of n. (Round your answers to three decimal places.)

(a)

n = 1

SE =

(b)

n = 2

SE =

(c)

n = 4

SE =

(d)

n = 9

SE =

(e)

n = 16

SE =

(f)

n = 25

SE =

(g)

n = 100

SE =

Answer 1

Solution:

SE =

a)

SE = 1/1 = 1.00

SE = 1.000

b)

SE = 1/2 = 0.707

SE = 0.707

c)

SE = 1/4 = 0.500

SE = 0.500

d)

SE = 1/9 = 0.333

SE = 0.333

e)

SE = 1/16 = 0.250

SE = 0.250

f)

SE = 1/25 = 0.200

SE = 0.200

g)

SE = 1/100 = 0.100

SE = 0.100