Using a data set of 40 LDL cholesterol levels of women we ge

Using a data set of 40 LDL cholesterol levels of women, we get a 95% confidence interval estimate: 916.591 < s² < 2252.119, and the units of measurement are (mg/dL)2. Identify the corresponding confidence interval of s and include appropriate units. Round to one decimal place. Write a statement that correctly interprets the confidence interval estimate of s.

I am spending too much time trying to figure this stuff out. can anybody help? thank you.

Solution

Using a data set of 40 LDL cholesterol levels of women, we get a 95% confidence interval estimate: 916.591 < s² < 2252.119, and the units of measurement are (mg/dL)2. Identify the corresponding confidence interval of s and include appropriate units. Round to one decimal place. Write a statement that correctly interprets the confidence interval estimate of s.

I am spending too much time trying to figure this stuff out. can anybody help? thank you.

This is confidence interval for variance   916.591 < s² < 2252.119

confidence interval of s   is sqrt(916.591) < s < sqrt(2252.119)

CI = 30.3 < s < 47.5 in (mg/dL)

We are 95% confident that population standard deviation will fall in the interval (30.3, 47.5).