A quality control team collects a random sample of $30$ batteries and finds that the sample variance in battery life is $11.56$ hours². Assume the data are from a normally distributed population. Construct the $95\%$ confidence interval for the population variance and the population standard deviation.

For variance: $(7.12,20.47)$

For standard deviation: $(2.71,4.57)$

For variance: $(7.33,20.89)$

For standard deviation: $(2.71,4.57)$

For variance: $(7.33,20.89)$

For standard deviation: $(2.28,4.11)$

For variance: $(7.02,20.15)$

For standard deviation: $(2.03,4.54)$