Essay on Mat 300 the Bottling Ocmpany

864 Words Sep 12th, 2015 4 Pages
Imagine you are a manager at a major bottling company. Customers have begun to complain that the bottles of the brand of soda produced in your company contain less than the advertised sixteen (16) ounces of product. Your boss wants to solve the problem at hand and has asked you to investigate. You have your employees pull thirty (30) bottles off the line at random from all the shifts at the bottling plant. You ask your employees to measure the amount of soda there is in each bottle.
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 |
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The customers in this case study have complained that the bottling company provides less than the advertised sixteen ounces of product. They need to determine if there is enough evidence to conclude the soda bottles do not contain sixteen ounces. The sample size of sodas is 30 and has a mean of 14.9. The standard deviation is found to be 0.55. With these calculations and a confidence level of 95%, the confidence interval would be 0.2. There is a 95% certainty that the true population mean falls within the range of 14.7 to 15.1.
Conduct a Hypothesis Test to Verify if Claim is Supported.
“Hypothesis testing is a decision-making process for evaluating claims about a population” (Bluman, 2013, p. 398). This process is used to determine if you will accept or reject the hypothesis. The claim is that the bottles contain less than 16 ounces. The null hypothesis is the soda bottles contain 16 ounces. The alternative hypothesis is the bottles contain less than 16 ounces. The significance level will be 0.05. The test method to be used is a t-score. The test statistic is calculated to be -11.24666539 and the P-value is 1.0. The P-value is the probability of observing a sample statistic as extreme as the test statistic, assuming the null hypothesis is true. The T Crit value is 1.69912702. The calculations show there is enough evidence to support the claim that the soda bottles do…