Question

18. A sample of 20 cans of tomato juice showed a standard deviation of 0.4 ounces....

18. A sample of 20 cans of tomato juice showed a standard deviation of 0.4 ounces. A 95% confidence interval estimate for the variance of the population is

a. 0.2313 to 0.8533

b. 0.2224 to 0.7924

c. 0.0889 to 0.3169

d. 0.0925 to 0.3413

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

s = 0.4

Point estimate = s2 = 0.16

2R = 2/2,df = 32.852

2L = 21 - /2,df = 8.907

The 95% confidence interval for 2 is,

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

(19)(0.16) / 32.852 < 2 < (19)(0.16) / 8.907

0.0925 < 2 < 0.3413  

(0.0925 to 0.3413)

option d. is correct

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