Question

In: Statistics and Probability

US department of labor wanted to estimate the variability in unemployment rate. They took a sample...

US department of labor wanted to estimate the variability in unemployment rate. They took a sample of size 25 and found that sample mean 20.32 and sample standard deviation is 3.55. Estimate the 95% confidence interval for true standard deviation.

Question 3 options:

(2.77 to 7.54)

(2.77 to 4.94)

(7.68 to 32.27)

(1.45 to 7.68)

(7.68 to 24.39)

Solutions

Expert Solution

Solution :

Given that,

s = 3.55

s2 = 12.6025

2R = 2/2,df = 39.364

2L = 21 - /2,df = 12.401

The 95% confidence interval for is,

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

(24)(12.6025) / 39.364 < < (24)(12.6025) / 12.401

2.77 < < 4.94

(2.77 to 4.94)

orchestra answered 2 years ago
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