Bottling Company Case Study
Professor P. Self
Math 300- Statistics
June 8, 2015
Bottle Number | Ounces
| Bottle Number | Ounces | BottleNumber | 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 Dunning Bottling Company was established in 2000 by Spencer Dunning. Mr. Dunning was born in Meridian, Mississippi. As Spencer was growing up, he was ...view middle of the document...
Once I did that, the median came out to be 14.8 because there were two middle values, so I added them up and divided it by two. I will use the square root of the variance formula to find the standard deviation for the bottling company. Bluman explained that the data points tend to be near the mean when having a low standard deviation; the points are spread out over the large range of values when having a high standard deviation (Bluman, 2013). Taking the complete steps, the standard deviation for the ounces in the bottle is 0.550329.
Moore stated that, “The confidence level is the success rate of the method that produces the interval” (Moore, 2007). It is a measure of the dependability of an estimate. The customers in this case study have had many complaints of the bottling company providing less than the sixteen ounces of soda that is being advertised. The company needs to decide if there is enough evidence to determine that the bottles do not contain sixteen ounces. With the calculations of the sample size being 30, the mean being 14.9, and the standard deviation being 0.55, finding the confidence level of 95%, the confidence interval would be 0.2. When it comes to the true population mean, there is a 95% confidence that it falls within the range of the confidence interval lower level of 14.67 to 15.07 being the confidence interval upper level.
According to our book on page 398, Bluman explained that, “The hypothesis testing is a decision-making process for evaluating claims about a population” (Bluman, 2013). With this process, I am determining whether I will accept or reject the hypothesis. As stated in the case study, the claim would be if the bottles contain less than sixteen ounces. My null hypothesis is that the beverage bottle do contains sixteen ounces. My alternative hypothesis is the bottles do not contain...