A random sample is made of 256 middle managers concerning their annual incomes. The sample mean is computed to be $35,420. If th

Question

3 years ago

12

e population standard deviation is $2,050. What is the standard error of the mean?
a. $128.125
b. $138.36
c. $2.050
d. $8.01

1 answer:

ziro4ka [17] · Answer 1 · 2022-05-18T21:36:48+03:00

3 0

Answer: a. $128.125

Step-by-step explanation:

The standard error of the mean is given by :

$SE=\dfrac{\sigma}{\sqrt{n}}$ , where $\sigma$ = population standard deviation , n= sample size.

Given: $\sigma=\$2,050$

n= 256

Then, the standard error of the mean:-

$SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125$

Hence, option a. is correct.