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Statistics Assignmet 1: Bottling Company Case Study Essay

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Assignment 1: Bottling Company Case Study

In this project we were given the case of customer complaints that the bottles of the brand of soda produced in our company contained less than the advertised sixteen ounces of product. Our boss wants us to solve the problem at hand and has asked me to investigate. I have asked my employees to pull Thirty (30) bottles off the line at random from all the shifts at the bottling plant. The first step in solving this problem is to calculate the mean (x bar), the median (mu), and the standard deviation (s) of the sample. All of those calculations were easily computed in excel. The mean was computed by entering: …show more content…

(14.87*16/0.550329055/5.4772 = 0.1005) So, we have p = 0.1005. Then we ask if p is greater than a (alpha). Since p is greater than a = 0.10 we decide that there is significant evidence supporting the claim to not reject the Ho. So, we accept the null hypothesis that on average there is less than the advertised 16oz in each bottle. Some of the possible causes of the possible causes of the difference of the average amount of soda per bottle could be that there is a maintenance issue with the machines that dispense the soda into the bottles. Calibration of the machinery could resolve the issue. A second reason that the bottles contain less than 16oz on average is that there could be an issue with the loss of product between the bottles being filled and the bottle caps being put on. In this case, the bottles would need to be monitored between being filled and being capped to observe any variance in that phase of the bottling process. A third reason that the bottles contain less than 16oz on average could be a faulty measurement process. If in the filling process the soda is freshly mixed and contains various amounts of air and once the product settles the air is dispersed the bottle volume may be less than it was when it was filled. So if the volume is measured any time before the air is dispersed and the product settles then there would be a random variance in the volume. This can be resolved in many ways, but I speculate that the easiest and

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