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) $0.12

Question

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

Quizplus · Accepted Answer

For a 95% confidence level, the critical value is 2.576. The confidence interval is:$$0.16 / 2.576 < \sigma < 0.16 * 2.576$$$$0.062 < \sigma < 0.41$$

Use the Given Degree of Confidence and Sample Data to Find