In: Statistics and Probability
Use technology to construct the confidence intervals for the population variance sigmasquared and the population standard deviation sigma. Assume the sample is taken from a normally distributed population. c=0.95, s=39, n=16
95% confidence interval for 2
is
(n-1) S2 / /2 <
2 <
(n-1) S2 /
1-
/2
(16-1) * 392 / 27.488 < 2 <
(16 - 1) * 392 / 6.262
829.9985 < 2 <
3643.4047
95% CI for 2 is
( 829.9985 , 3643.4047)
b)
95% confidence interval for
is
Sqrt [ (n-1) S2 / /2] <
< Sqrt [
(n-1) S2 /
1-
/2
]
Sqrt [ (16-1) * 392 / 27.488 ] < < Sqrt [
(16 - 1) * 392 / 6.262 ]
28.8097 < < 60.3606
95% CI for is (
28.8097 , 60.3606 )