Assume the sample is taken from a normally distributed population and construct the indicated confidence interval.
-The heights (in inches)of 20 randomly selected adult males are listed below. Construct a 99% confidence interval for the variance, $\sigma ^ { 2 } .$ $$\begin{array} { l l l l l l l l l l }
70 & 72 & 71 & 70 & 69 & 73 & 69 & 68 & 70 & 71 \
67 & 71 & 70 & 74 & 69 & 68 & 71 & 71 & 71 & 72
\end{array}$$
A)(1.47, 8.27)
B)(21.61, 69.06)
C)(1.35, 8.43)
D)(2.16, 71.06)

Question

Assume the sample is taken from a normally distributed population and construct the indicated confidence interval.
-The heights (in inches)of 20 randomly selected adult males are listed below. Construct a 99% confidence interval for the variance, $\sigma ^ { 2 } .$ $$\begin{array} { l l l l l l l l l l } 
70 & 72 & 71 & 70 & 69 & 73 & 69 & 68 & 70 & 71 \
67 & 71 & 70 & 74 & 69 & 68 & 71 & 71 & 71 & 72
\end{array}$$
A)(1.47, 8.27)
B)(21.61, 69.06)
C)(1.35, 8.43)
D)(2.16, 71.06)

Quizplus · Accepted Answer

The correct answer is A because the sample variance is 4.95 and the chi-square statistic with 19 degrees of freedom has a lower 1% point of 1.47 and an upper 1% point of 8.27.

Assume the Sample Is Taken from a Normally Distributed Population σ2.\sigma ^ { 2 } .σ2.

Assume the Sample Is Taken from a Normally Distributed Population $\sigma ^ { 2 } .$