Use the Given Degree of Confidence and Sample Data to Find

Multiple Choice

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 $\sigma$ .

A) $0.13 < \sigma < 0.22$
B) $0.11 < \sigma < 0.25$
C) $0.15 < \sigma < 0.21$
D) $0.12 < \sigma < 0.24$