# Research and Statistics for Managers

**this question has 4 sections – please make sure you answer all information and explain how you found the answer or this assignment will not be complete.**

In several countries of Africa, a common size for a Coke can is 340 milliliters (mL). Because of the variability of bottling machinery, it is likely that every 340-mL bottle of Coca-Cola does not contain exactly 340 milliliters of fluid. Some bottles may contain more fluid and others less. Because of this variation, a production engineer wants to test some of the bottles from a production run to determine how close they are to the 340-mL specification. Suppose the following data are the fill measurements from a random sample of 50 cans. 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 on this production run?

raw data chart (if you need a better copy of the raw data, please contact me)

340.1 339.9 340.2 340.2 340.0

340.1 340.9 340.1 340.3 340.5

339.7 340.4 340.3 339.8 339.3

340.1 339.4 339.6 339.2 340.2

340.4 339.8 339.9 340.2 339.6

339.6 340.4 340.4 340.6 340.6

340.1 340.8 339.9 340.0 339.9

340.3 340.5 339.9 341.1 339.7

340.2 340.5 340.2 339.7 340.9

340.2 339.5 340.6 340.3 339.8

1. Using the raw data and the paragraph above about the coca cola company, fill in the data for this chart below:

Descriptive statistics | ||

x | ||

count | ||

mean | ||

sample standard deviation | ||

sample variance | ||

minimum | ||

maximum | ||

range | ||

1st quartile | ||

median | ||

3rd quartile | ||

interquartile range | ||

mode | ||

low extremes | ||

low outliers | ||

high outliers | ||

high extremes | ||

2. Create a box plot using the data and chart information above

3. create a minitab output using the data and chart information above

4. create a paredo chart using the data and chart information above

**And – i need you to explain how you got the answers**