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The Coca-Cola Company is the number-one seller of soft drinks in the world. Every day an average of more than 1.5 billion servings of Coca-Cola, Diet Coke, Sprite, Fanta, and other products of Coca-Cola are enjoyed around the world. The company has the world's largest production and distribution system for soft drinks and sells more than twice as many soft drinks as its nearest competitor. Coca-Cola products are sold in more than 200 countries around the globe.

Discussion

1. Because of the variability of bottling machinery, it is likely that every 200-milliliter bottle of Coca-Cola does not contain exactly 200 milliliters of fluid. Some bottles may contain more fluid and others less. Because 200-milliliter bottle fills are somewhat unusual, a production engineer wants to test some of the bottles from the first production runs to determine how close they are to the 200-milliliter specification.

Suppose the following data are the fill measurements from a random sample of 50 bottles. Use the techniques presented in this chapter to describe the sample. Consider measures of central tendency, variability, and skewness.

Based on this analysis, how is the bottling process working?

Discussion

1. Because of the variability of bottling machinery, it is likely that every 200-milliliter bottle of Coca-Cola does not contain exactly 200 milliliters of fluid. Some bottles may contain more fluid and others less. Because 200-milliliter bottle fills are somewhat unusual, a production engineer wants to test some of the bottles from the first production runs to determine how close they are to the 200-milliliter specification.

Suppose the following data are the fill measurements from a random sample of 50 bottles. Use the techniques presented in this chapter to describe the sample. Consider measures of central tendency, variability, and skewness.

Based on this analysis, how is the bottling process working?

2. Suppose that at another plant Coca-Cola is filling bottles with the more traditional 20 ounces of fluid. A lab randomly samples 150 bottles and tests the bottles for fill volume. The descriptive statistics are given in both Minitab and Excel computer output. Write a brief report to supervisors summarizing what this output is saying about the process.

Minitab Output

Descriptive Statistics: Bottle Fills

Excel Output

Bottle Fills

Mean ........... 20.00817

Standard error ........ 0.008278

Median .......... 19.99697

Mode ............. #N/A

Standard deviation ....... 0.101388

Sample variance ......... 0.010279

Kurtosis.......... €“0.11422

Skewness .......... 0.080425

Range ............. 0.557666

Minimum .......... 19.70555

Maximum ......... 20.26322

Sum............. 3001.225

Count ........... 150

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