Discussion:
1. Use the features of the Normal Distribution to response the following questions about coffee:
Below is a Excel file with data on 80 coffee roasters across the world. These data represent the number of tons of coffee exported during the year 2004.
|
8.5
|
8.56
|
8.59
|
8.61
|
8.63
|
8.65
|
8.66
|
8.68
|
|
8.51
|
8.56
|
8.59
|
8.61
|
8.63
|
8.65
|
8.66
|
8.69
|
|
8.52
|
8.57
|
8.59
|
8.62
|
8.63
|
8.65
|
8.66
|
8.69
|
|
8.53
|
8.57
|
8.6
|
8.62
|
8.64
|
8.65
|
8.66
|
8.69
|
|
8.54
|
8.57
|
8.6
|
8.62
|
8.64
|
8.65
|
8.66
|
8.69
|
|
8.54
|
8.57
|
8.61
|
8.62
|
8.64
|
8.65
|
8.66
|
8.7
|
|
8.54
|
8.58
|
8.61
|
8.62
|
8.64
|
8.65
|
8.67
|
8.71
|
|
8.54
|
8.58
|
8.61
|
8.62
|
8.64
|
8.65
|
8.67
|
8.72
|
|
8.55
|
8.58
|
8.61
|
8.63
|
8.64
|
8.66
|
8.67
|
8.73
|
|
8.56
|
8.59
|
8.61
|
8.63
|
8.65
|
8.66
|
8.67
|
8.75
|
Descriptive statistics from Microsoft Excel are below.
0.25 range
|
|
8.623375
|
mean
|
|
|
8.63
|
median
|
|
|
8.65
|
mode
|
|
|
-0.19779
|
skew
|
|
|
0.052215
|
Stdev
|
o Given the evidence reviewed above, are the data normally distributed? Why or why not?
IMPORTANT! Use the descriptive statistics to argue that the data are, or aren't normally distributed. Share your rationale: On what basis do you declare that the data are, or aren't normally distributed? Remember that in your reserved reading and in our lecture notes, you learned six techniques for determining whether data are normally distributed. Be sure that your rationale includes no less than two of those techniques.
o Assuming the data are normally distributed, we could expect what percentage of the population of coffee roasters across the world to export between the mean and +2 standard deviations from the mean?
o Assuming the data are normally distributed, we could expect 68% of the population of coffee roasters across the world to export approximately how many tons of coffee? (i.e. between what "low" number and what "high" number?)