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Use technology to construct the confidence intervals for the population variance sigmaσsquared2 and the population standard...

Use technology to construct the confidence intervals for the population variance

sigmaσsquared2

and the population standard deviation

sigmaσ.

Assume the sample is taken from a normally distributed population.

cequals=0.95

ssquared2equals=12.96

nequals=25

Solutions

Expert Solution

Solution :

Given that,

Point estimate = s2 = 12.96

2L = 2/2,df = 39.364

2R = 21 - /2,df = 12.401

The 95% confidence interval for 2 is,

(n - 1)s2 / 2/2 < 2 < (n - 1)s2 / 21 - /2

24 * 12.96 / 39.364 < 2 < 24 * 12.96 / 12.401

7.90 < 2 < 25.08

(7.90 , 25.08)

The 95% confidence interval for is,

2.81 < < 5.01

(2.81 , 5.01)

orchestra answered 2 years ago
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