# 409Exam1Bans - STAT 409 Fall 2011 Version B Name ANSWERS...

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Page 1 of 6 1. In a random sample of 11 ½-pound” burgers at Burger Queen , the average weight of beef was 7.9 ounces with the sample standard deviation 0.12 ounces. (Assume the weights are normally distributed.) a) (5) Construct a 95% confidence interval for the overall average weight of beef in a ½-pound” burger at Burger Queen . X = 7.9. s = 0.12. n = 11. α = 0.05. σ is unknown. The confidence interval : X t s ± α 2 n . α 2 = 0.025. number of degrees of freedom = n - 1 = 11 - 1 = 10. t α 2 = 2.228. 11 12 . 0 228 . 2 9 . 7 ± 7.9 ± 0.08 ( 7.82 , 7.98 ) b) (5) Construct a one-sided 90% confidence interval which gives an upper bound for the overall standard deviation of the weights of beef in a “ ½-pound” burger at Burger Queen . ( ) -
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409Exam1Bans - STAT 409 Fall 2011 Version B Name ANSWERS...

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