Statistic Case Study for Bottle Company
Investigating Bottling Company Case Study
T.P
University
Statistics
Mat 300
Mr. Thevar
December 01, 2013
Investigating Bottling Company Case Study
The case study that is being investigated is for a bottling company producing less soda than what is advertised. Customers have complained that the sodas in the bottles contain less than the advertised sixteen ounces. The employees at the company have measured the amount of soda contained in each bottle. There are thirty bottles that have been pulled from the shelves. The manager of the company would like to have a detailed report on the possible causes, if any, for the shortage in the amount of soda or if the claim is not supported explain how to mitigate the issue in the future. In order to statistically find a cause in the shortage a hypothesis testing is conducted by finding the mean, median, and standard deviation for ounces in the bottles. Constructing a 95 percent interval will establish the mean of the population since the mean of the population is not known.
There are thirty soda bottles being pulled for investigation. The mean will be calculated by averaging the amount of ounces in each bottle and dividing the total by the number of bottles. The data below shows the ounces in each of the thirty bottles that were pulled.
The mean among the sample bottles is 14.87. The calculation to find the mean is to add all the ounces per bottle. The total is 446.1 divided by the random sample of 30. The average ounces in the bottles are less than 16 ounces. The median for the soda bottles is 14.8. The median is imputed by dividing the random number of 30 by 2 which equals 15. Arrange the ounces from smallest to largest, and select the number that falls on 15. This will provide the median for the thirty bottles. The standard deviation for the ounces in the bottles is 0.55. The standard deviation must be known in order to compute the confidence interval. To find the
T.P
University
Statistics
Mat 300
Mr. Thevar
December 01, 2013
Investigating Bottling Company Case Study
The case study that is being investigated is for a bottling company producing less soda than what is advertised. Customers have complained that the sodas in the bottles contain less than the advertised sixteen ounces. The employees at the company have measured the amount of soda contained in each bottle. There are thirty bottles that have been pulled from the shelves. The manager of the company would like to have a detailed report on the possible causes, if any, for the shortage in the amount of soda or if the claim is not supported explain how to mitigate the issue in the future. In order to statistically find a cause in the shortage a hypothesis testing is conducted by finding the mean, median, and standard deviation for ounces in the bottles. Constructing a 95 percent interval will establish the mean of the population since the mean of the population is not known.
There are thirty soda bottles being pulled for investigation. The mean will be calculated by averaging the amount of ounces in each bottle and dividing the total by the number of bottles. The data below shows the ounces in each of the thirty bottles that were pulled.
The mean among the sample bottles is 14.87. The calculation to find the mean is to add all the ounces per bottle. The total is 446.1 divided by the random sample of 30. The average ounces in the bottles are less than 16 ounces. The median for the soda bottles is 14.8. The median is imputed by dividing the random number of 30 by 2 which equals 15. Arrange the ounces from smallest to largest, and select the number that falls on 15. This will provide the median for the thirty bottles. The standard deviation for the ounces in the bottles is 0.55. The standard deviation must be known in order to compute the confidence interval. To find the
References: Easton, V. J., & McColl, J. H. (n.d.). Statistics Glossary. Retrieved on December 1, 2013 from http://www.stats.gla.ac.uk/steps/glossary/index.html Introduction to SAS. UCLA: Statistical Consulting Group (2007). Retrieved on December 1, 2013 from http://www.ats.ucla.edu/stat/sas/notes2/