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?

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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0532669798 0090909909 0090909909 2212121121 2382260173 0099000190 0099000090 2211222212 2136949926 0009909900 0009909900 2221121122 9944848555 9009900009 9009900009 1221122221 1171461322 0090090000 0090090000 2212212222 ariable Bottle Fills Variable Bottle Fills 19.997 Total Count Mean SE Mean StDev Variance Coef Var Minimum 150 20.008 0.00828 0.101 0.0103 IQR 0.139 0.51 19.706 19.940 Median Maximum Range 0.557 20.079 20.263 Summary for Bottle Fills Anderson-Darling Normality Test A-Squared P-Value 0.32 0.531 Mean St Dev Variance Skewness Kurtosis 20.008 0.101 0.010 0.080479 -0.116220 150 19.7 Minimum Ist Quartile Median 3rd Quartile Maximum 19.706 19.940 19.997 20.079 20.263 19.8 19.9 20.0 20.1 20.2 95% Confidence Interval for Mean 95% Confidence Intervals 19.992 20.025 Mean 95% Confidence Interval for Median 19.980 20.035 MedianI 95% Confidence Interval for St Dev 0.091 0.114 19.98 19.99 20.00 20.0 20.02 20.03 20.04