Mat 300 Statistics Bottling Company Case Study

663 words - 3 pages

Assignment 1: Bottling Company Case Study
MAT 300 Statistics
Strayer University
December 15, 2013

Calculate the mean, median, and standard deviation for ounces in the bottles.

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 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

Total: 446.1/ 30 = 14.87
Mean: (Avg) 14.87
Median: (14.87 + 14.87) / 2 = 14.8
Standard Deviation: 0.55033

Construct a 95% Confidence Interval for the ounces in the bottles.
With a mean score of 14.87, a standard deviation of 0.55033, and a desired confidence level of 95%, the corresponding confidence interval is + 0.2. There is a 95% certainty that the true ...view middle of the document...

Employees are required to measure the amount of soda there is in each bottle.
Alternative hypothesis: the bottles of the brand of soda produced contain less than the advertised sixteen (16) ounces of product
Null hypothesis: the bottles of the brand of soda produced do not contain less than the advertised sixteen (16) ounces of product.
95% Confidence Interval = (14.67,15.07)
We are confident that the true population mean is between 14.67 and 15.07
Margin of error = (5.07-14.67) = 0.4 / 2 = 0.2
T Statistic = 147.99554
P-Value = 0.00025
Stemming from the P-Value, there is very strong evidence against the null hypothesis in favor of the alternative.

Provide the following discussion based on the conclusion of your test: If you conclude that there are less than sixteen (16) ounces in a bottle of soda, speculate on three (3) possible causes. Next, suggest the strategies to avoid the deficit in the future.

I conclude that there are less than sixteen (16) ounces in some of the bottles of soda. Some causes that may contribute to the issues may include a mechanical defect with the company’s equipment, employees failed to notice or inspect the bottles before packaging, or the product evaporates or goes flat after a period time has passed. As manager, I recommend that there will be a monthly maintenance check on the equipment and documented. Also, employees will be monitored in how thorough the product is inspected before leaving the assembly line and packaged. Lastly, I will stress to consumers of the possibility that the product may have experienced evaporation and gone flat depending on how long it stays on the shelf unopened.

Resources

Lane, D. M. (n.d.). Steps in hypothesis testing. Retrieved from
http://onlinestatbook.com/2/logic_of_hypothesis_testing/steps.html

Sauro, J. (2006, February 06). Graph and calculator for confidence intervals for task times.
Retrieved from http://www.measuringusability.com/time_intervals.htm?sample=

Test of hypothesis for population mean. (n.d.). Retrieved from
http://home.ubalt.edu/ntsbarsh/Business-stat/otherapplets/MeanTest.htm

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