Bottle Company Case

Bottling Company Case Study

As a manager of a major bottling company my customers have begun to complain that the bottles of brand sodas that are produce by my company contain less than the advertised sixteen ounces of soda. This is a major problem that can cause customers to look for a new brand of sodas. Therefore, this paper will address the issues of does my company need to add more soda to each bottle or make some adjustments to our soda product line. This paper will also use the thirty bottles that were randomly selected and conduct a calculation of the mean, median and standard deviation of each bottle. At the same time, this paper will construct a 95% Confidence Interval for the ounces in the bottles and from the data that I attain I will draw a hypothesis test to verify if the claim is indeed true or false and based on the results I will conclude if the statements are valid or invalid.

Mean, Median & Standard Deviation

With the data that has been tested we have come up with a way to construct the mean median and standard deviation for our product. So far as illustrated in the graph below there is some concern with how much product is in the bottles we are distributing. The first graph so the raw data of what has been poured out of each bottle and documented for purposes of running tests. The 30 bottles have been measured and the data is below in figure 1. As you can see in some simple calculations we have come up with a mean of 14.7, a median of 14.8 and a standard deviation of 0.5. Not one of our bottles came up with a 16oz product which is not looking good for our company.

Fig. 1

95% Confidence Interval

With the data in figure 1 we can construct a 95% Confidence Interval for the ounces in the bottles. With the calculation in the 95% Confidence