# Bottling company case study

Investigation of number of ounces in the water bottleRecently, we received customers complains about our bottle water contains less thansixteen (16) ounces as we advertised. To investigate the issue, we pulled thirty (30) bottles offthe line at random from all the shifts at the bottling plant and measured the amount of water ineach bottle. The results are listed in the attach file.From the data we calculate the mean, median, and standard deviation of ounces in thebottle:mean 1 30 ai 14.87ouncesn i 1The median can be found by sort the number of ounces in the bottle from small to large,we found that the amount in the 15th bottle is 14.8 ounces, thusmedian = 14.8 ouncesThe standard deviation is calculated by summing the square of the difference in numberof ounces in each bottle and the mean then divided it by 30-1 = 29, i.e.1 30standard deviation S (an ...

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