Question

In a sample of 24 spools of wire, the average diameter was found to be 3.16mm with a variance of 0.13. Give a point estimate for the population standard deviation of the diameter of the spools of wire. Round your answer to two decimal places, if necessary.

Answer 1

Answer: 0.36

Explanation:

Given : Sample size of spools of wire : n= 24

The sample variance =
`s^2=0.13`

The the sample standard deviation should be the square root of the sample variance.

i.e. Sample standard deviation =
`s=√(0.13)=0.360555127546approx0.36`

Also, the sample standard deviation(s) is the best estimate of population standard deviation
`(\sigma)`.

Therefore , a point estimate for the population standard deviation
`(\sigma)` of the diameter of the spools of wire. =s= 0.36

Hence, a point estimate for the population standard deviation of the diameter of the spools of wire= 0.36