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Statistic Paper

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Submitted By chris8402
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Bottling Company Case Study
Introduction to Statistics: MAT 300
6/7/2014

Recently customers have begun to complain that the bottles of the brand of soda produced in this company contains less than the advertised 16 ounces of product. I have pulled 30 bottles of soda and am calculating the mean, median, standard deviation, constructing a 95% confidence interval and conducting a hypothesis test to verify the claim that a bottle contains less than 16 ounces is supported. The first set of tests will consist of calculating the mean, median and standard deviation for ounces in the bottles. Below is the data set from the 30 bottles collected: 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 |

The mean for the samples above is 14.87 ounces. The median for the samples above is 14.8 ounces. The standard deviation for the above sample is 0.550 ounces. The second test is constructing a 95% confidence interval. The values needed to construct the 95% confidence interval include; samples size of 30, confidence coefficient of 1.96. The upper limit of the 95% confidence interval is 15.067 and the lower limit of the 95% confidence interval is 14.673.
The third test of the data is conducting a hypothesis test to verify if the claim that a bottle contains less than 16 ounces is supported. In this scenario the null hypothesis would be µ ≥ 16 and the alternative hypothesis would be µ <16. The values needed to make a

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