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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. c=0.99, s =35, n=19

What is the confidence interval for the population variance?

What is the confidence interval for the population standard deviation?

Solutions

Expert Solution

Solution :

Given that,

s = 35

Point estimate = s2 = 1225

2R = 2/2,df = 37.156

2L = 21 - /2,df = 6.265

The 99% confidence interval for 2 is,

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

(18) (1225) / 37.156 < 2 < (18) (1225) / 6.265

593.44 < 2 < 3519 .67

(593.44 , 3519.67)

s = 35

s2 = 1225

2R = 2/2,df = 37.156

2L = 21 - /2,df = 6.265

The 99% confidence interval for is,

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

(18)(1225) / 37.156 < < (18)(1225) / 6.265

24.36 < < 59.33

(24.36 , 59.33)

orchestra answered 2 years ago
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