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Chapter 8 Review 2008 Solution

# Chapter 8 Review 2008 Solution - CHAPTER 8 INFERENCES...

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CHAPTER 8 INFERENCES CONCERNING VARIANCES SPRING 2008 STA 3032 A (1- α) 100% Confidence Interval for a population variance ( 2 σ ) Chi-Square distribution: 2 2 2 ) 1 ( σ χ s n - = 2 ) 2 / 1 ( 2 2 2 2 / 2 ) 1 ( ) 1 ( α α χ σ χ - - < < - s n s n where 2 2 / α χ and 2 ) 2 / 1 ( α χ - are values of 2 χ that locate an area of 2 / α to the right and 2 / α to the left, respectively, of a chi-square distribution with n-1 degrees of freedom. Example: A quality control supervisor in a cannery knows that the exact amount each can contains will vary. The mean per can is important, but equally important is the variation 2 σ of the amount of fill. If 2 σ is large, some cans will contain too little and others too much. To estimate the variation of fill at the cannery, the supervisor randomly selects 10 cans and weighs the contents of them. The following weights (in ounces) are obtained: 7.96 7.90 7.98 8.01 7.97 7.96 8.03 8.02 8.04 8.02 Construct a 90% CI for the true variation in fill of cans at the cannery.

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Chapter 8 Review 2008 Solution - CHAPTER 8 INFERENCES...

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