Bottling Company Case Study

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Submitted By Agave831
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Strayer University MAT 300
Dr. Soosan Shahrokh
December 12, 2014

Bottling Company Case Study In this project we were given the case of customer complaints that the bottles of the brand of soda produced in our company contained less than the advertised sixteen ounces of product. Our boss wants us to solve the problem at hand and has asked me to investigate. I have asked my employees to pull Thirty (30) bottles off the line at random from all the shifts at the bottling plant.
The next step in solving this problem is to calculate the mean (x bar), the median (mu), and the standard deviation (s) of the sample. All of those calculations were easily computed in excel. The mean was computed by entering: =average, the median by: =median, and the std. dev. by: standard deviation. And the corresponding values are x bar = 14.87, mu = 14.8, and s = 0.550329055. The next to last step in solving the problem is to construct a 95% confidence interval for the average amount of the company’s 16-ounce bottles. The confidence interval was constructed by drawing a normal distribution with c = 95%, a = 0.050, and Zc = 0.025. The Zc value was entered into the Z◘ (z box) function in the Aleks calculator that resulted in a Z score of +1.96 and -1.96. We can calculate the standard error (SE) by dividing the s by the Square root of n which is the sample size. When the margin of error is calculated by multiplying the z score = 1.96 by the std. dev. = 0.5503/the square root of n = 5.4772. The result is a 0.020 margin of error. The margin of error is added to and subtracted from the mean to give two numbers the lower and upper values. When the lower value is 14.85 and the upper value is 14.89. So, we can now say that with 95% confidence the mean of the sample is between 14.85 and 14.89.

Here is the next step in solving the equation is to complete a hypothesis test. For this test…...

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