Use the given degree? of confidence and sample data to find a confidence interval for the population standard deviation σ. Assume that the population? has a normal distribution. Round the confidence? interval limits to the same number of decimal places as the sample standard deviation.

To find the standard deviation of the diameter of wooden dowels, the manufacturer measures 19 randomly selected dowels? and finds the standard deviation of the sample to be s = 0.16. Find the 95% confidence interval for the population standard deviation σ.

0.11 < σ < 0.25
0.13 < σ < 0.22
0.12 < σ < 0.24
0.15 < σ < 0.21

Show work. Ignore the question marks.