Question

A population has a standard deviation of 5.5. What is the standard error ofthe sampling distribution if the sample size is 642 Round your answer to twodecimal places.A. 0.61B. 0.79C. 0.69O D. 0.92

Answer 1

Given that,

Standard deviation = s = 5.5

Sample size = n = 64

standard error = x = ?

If we are given the standard deviation and sample size, the error can be calculated using the following formula.

`x\text{ = }\frac{s}{\sqrt[]{n}}`

By putting the values in the formula, we get

`x\text{ = }\frac{5.5}{\sqrt[]{64}}`

or

x = 5.5/8

x = 0.6875

As we have to round the answer to two decimal places, the final answer would 0.69.

Hence, option C is correct.