Question

In a sample of 62 cups, the average diameter was found to be 3.07in. with a standard deviation of 0.21. Give a point estimate for the population standard deviation of the diameter of the cups. Round your answer to two decimal places, if necessary.

Answer 1

Answer:

Population standard deviation (σ) = 0.3 in

Step-by-step explanation:

Sample mean = 3.07 in

Sample standard deviation (s) = 0.21 in

Sample size (n) = 62 cups

Population standard deviation (σ) = ?

The point estimate for the population standard deviation is given by sample standard deviation divided by the square root of the sample size:

$\sigma = \frac{s}{\sqrt{n}}\\\sigma = \frac{0.21}{\sqrt{62}}\\\sigma = 0.03\ in$