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 :

Given that ,

standard deviation = = 1

a) n = 1

= / n = 1 / 1 = 1

b) n = 2

= / n = 1 / 2 = 0.707

c) n = 4

= / n = 1 / 4 = 0.5

d) n = 9

= / n = 1 / 9 = 0.333

e) n = 16

= / n = 1 / 16 = 0.25

f) n = 25

= / n = 1 / 25 = 0.2

g) n = 100

= / n = 1 / 100 = 0.1