A sample standard deviation and sample size are given. Use the one-standard-deviation $\chi ^ { 2 }$-interval procedure to obtain the specified confidence interval.
-s = 4, n = 11 , 95% confidence interval
A)2.956 to 6.373
B)2.795 to 7.02
C)0.618 to 3.896
D)2.795 to 3.51

Question

A sample standard deviation and sample size are given. Use the one-standard-deviation $\chi ^ { 2 }$-interval procedure to obtain the specified confidence interval.
-s = 4, n = 11 , 95% confidence interval 
A)2.956 to 6.373
B)2.795 to 7.02
C)0.618 to 3.896
D)2.795 to 3.51

Quizplus · Accepted Answer

The 95% confidence interval for the variance is calculated using the chi-square distribution with n-1 degrees of freedom. The interval for the standard deviation is then obtained by taking the square root of the variance interval.

A Sample Standard Deviation and Sample Size Are Given χ2\chi ^ { 2 }χ2

A Sample Standard Deviation and Sample Size Are Given $\chi ^ { 2 }$