Analysis of Soda Bottle Fill Levels: Statistical Evaluation and Hypothesis Testing

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Analysis of Soda Bottle Fill Levels: Statistical Evaluation and Hypothesis Testing Imagine you are a manager at a major bottling company. Customers have begun to complain that the bottles of the brand of soda produced in your company contain less than the advertised sixteen (16) ounces of product. Your boss wants to solve the problem at hand and has asked you to investigate. You have your employees pull thirty (30) bottles off the line at random from all the shifts at the bottling plant. You ask your employees to measure the amount of soda there is in each bottle. Note: Use the data set provided by your instructor to complete this assignment. Bottle Number Ounces Bottle Number Ounces Bottle Number Ounces 1 14.5 11 15 21 14.1 2 14.6 12 15.1 22 14.2 3 14.7 13 15 23 14 4 14.8 14 14.4 24 14.9 5 14.9 15 15.8 25 14.7 6 15.3 16 14 26 14.5 7 14.9 17 16 27 14.6 8 15.5 18 16.1 28 14.8 9 14.8 19 15.8 29 14.8 10 15.2 20 14.5 30 14.6 Write a two to three (2 - 3) page report in which you: Solution: 1. Calculate the mean, median, and standard deviation for ounces in the bottles. Bottle No. Ounces, X X - X̅ (X - X̅ )^2 1 14.5 - 0.37 0.1369 2 14.6 - 0.27 0.0729 3 14.7 - 0.17 0.0289 4 14.8 - 0.07 0.0049 5 14.9 0.03 0.0009 6 15.3 0.43 0.1849
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