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

Step-by-step 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 = $s=\sqrt{0.13}=0.360555127546approx0.36$

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