STA 301 - HW09 Key

STA 301 - HW09 Key - 33 . 28 10 5 . 30 . 30 4 . 29 9 . 28 3...

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Unformatted text preview: 33 . 28 10 5 . 30 . 30 4 . 29 9 . 28 3 . 28 1 . 28 7 . 27 1 . 27 9 . 26 4 . 26 1 = = = + + + + + + + + + i n x x ( 29 ( 29 07 . 29 , 59 . 27 74 . 33 . 28 96 . 1 33 . 28 10 2 . 1 025 . n X z x STA 301 Applied Statistics Spring 2008, Section B Homework #9 - Key Due Friday, April 11 Question 1 : Upon winning the World Series in 2006, the St. Louis Cardinals players and coaches celebrated by dousing each other in champagne. A staff member wanted to determine the average amount of champagne (in fluid ounces) contained per bottle. He randomly selected 10 of the bottles, obtaining the following measurements: 26.4 26.9 27.1 27.7 28.1 28.3 28.9 29.4 30.0 30.5 Assume the bottling process results in a normally distributed number of ounces per bottle with unknown mean X and standard deviation 2 . 1 = X ounces. (a) Calculate x , the point estimate for X . (b) Construct a 95% confidence interval for X . (c) After you present your confidence interval from part (b) to the staff member, he inquires, Does that mean there is a 95% probability that the true average is in your interval? Answer yes or no, and provide a brief explanation. No. Since the interval is fixed, the mean is either in there or its not. Instead, Im 95% confident because 95% of samples will generate intervals containing the true mean. STA 301-B, Spring 2008 Homework 9 Key Page 2 of 5 ( 29 ( 29 66 . 97 , 94 . 53 86 . 21 8 . 75 576 . 2 8 . 75 50 60 005 ....
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This homework help was uploaded on 04/17/2008 for the course STA 301 taught by Professor Noe during the Spring '08 term at Miami University.

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STA 301 - HW09 Key - 33 . 28 10 5 . 30 . 30 4 . 29 9 . 28 3...

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