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

Answer:

a) 2

b) 3

c) 1

Step-by-step explanation:

The standard error (SE) is given as:

SE = s ÷ √n

here,

s = √[SS ÷ (n - 1)]

Therefore,

We get,

SE = $\sqrt{\frac{SS}{n(n-1)}}$

Therefore,

For a)  n = 4 with SS = 48

SE = $\sqrt{\frac{48}{4(4-1)}}$

or

SE = √4

or

SE = 2

For b)  n = 6 with SS = 270

SE = $\sqrt{\frac{270}{6(6-1)}}$

or

SE = √9

or

SE = 3

For c)  n = 12 with SS = 132

SE = $\sqrt{\frac{132}{12(12-1)}}$

or

SE = √1

or

SE = 1