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. cequals0.95, sequals34, nequals15
Solution :
Given that,
s = 34
s2 = 1156
2L = 2/2,df = 26.119
2R = 21 - /2,df = 5.629
The 95% confidence interval for is,
(n - 1)s2 / 2/2 < < (n - 1)s2 / 21 - /2
14 * 1156 / 26.119 < < 14 * 1156 / 5.629
24.89 < < 53.62
(24.89 , 53.62)