Question

A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 60 cookies. The mean is 23.05 and the standard deviation is 2.75. Construct a 80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.

Answer #1

Chi square critical values at 0.20 level with 59 df = 45.577 , 73.279

80% confidence interval for is

Sqrt [ (n-1) S^{2} / /2 ] <
< Sqrt [
(n-1) S^{2} / 1-/2 ]

Sqrt [ 59 * 2.75^{2} / 73.279 ] < < Sqrt [
59 * 2.75^{2} / 45.577 ]

2.4675 < < 3.1289

80% CI is **( 2.4675 , 3.1289 )**

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