Question

In: Statistics and Probability

A sample standard deviation and sample size are given. Use the one-standard-deviation χ2-interval procedure to obtain...

A sample standard deviation and sample size are given. Use the one-standard-deviation χ2-interval procedure to obtain the specified confidence interval. s = 4, n = 11 , 95% confidence interval a) 2.795 to 3.51 b) 0.618 to 3.896 c) 2.956 to 6.373 d) 2.795 to 7.02

Solutions

Expert Solution

Solution :

Given that,

s = 4

s2 = 16

2L = 2/2,df = 20.483

2R = 21 - /2,df = 3.247

The 95% confidence interval for is,

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

  10 * 16 / 20.483 < < 10 * 16 / 3.247

2.795 < < 7.02

2.795 to 7.02

d)


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