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In: Statistics and Probability

suppose that a garage samples 20 customer they find that the standard deviation is 1234. Find...

suppose that a garage samples 20 customer they find that the standard deviation is 1234. Find a 90% confidence interval of true standard deviation. Which formula wold you use for X2 Left & X2 Right.

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Expert Solution

Solution :

Given that,

s = 1234

df = 19

Using chi square table,

2R = 2/2,df = 30.144

2L = 21 - /2,df = 10.117

The 90% confidence interval for is,

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

  19 * 12342 / 30.144 < < 19 * 12342 / 10.117

979.7041 < < 1691.0864

(979.7041 , 1691.0864)

orchestra answered 2 years ago
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