Question

Find the estimated standard error for the sample mean for each of the following samples.

a. n = 4 with SS = 48

b. n = 6 with SS = 270

c. n= 12 with SS = 132

Answer 1

a) 2

b) 3

c) 1

Explanation:

The standard error (SE) is given as:

SE = s ÷ √n

here,

s = √[SS ÷ (n - 1)]

Therefore,

We get,

SE =
`\sqrt{(SS)/(n(n-1))}`

Therefore,

For a) n = 4 with SS = 48

SE =
`\sqrt{(48)/(4(4-1))}`

or

SE = √4

or

SE = 2

For b) n = 6 with SS = 270

SE =
`\sqrt{(270)/(6(6-1))}`

or

SE = √9

or

SE = 3

For c) n = 12 with SS = 132

SE =
`\sqrt{(132)/(12(12-1))}`

or

SE = √1

or

SE = 1