Question

In a sample of 63 cans, the average diameter was found to be 3.7in. with a standard deviation of 0.32. Give a point estimate for the population variance of the diameter of the cans

Answer 1

0.32

Explanation:

Given that:

The sample size of the population = 63

The sample mean = 3.7

The sample standard deviation = 0.32

Thus, the point estimate for the population variance of the diameter of the cans is said to be the standard deviation of the population = 0.32

Suppose the variance (S²) is given as 0.32

Then the standard deviation will be
`√(S^2)`

=
`√(0.32)`

= 0.57

Then, since the sample standard deviation is the point estimate, we would have had 0.57 as the answer.