Descriptive Statistics and Interpretation
Pat Canfall
QNT 561
June 15, 2015
Gibran Rezavi
Descriptive Statistics
Levels of Carbonation
Central
Tendency:
31.256 g/l of carbonation per bottle
Dispersion:
Standard deviation = 3.5 g/l of carbonation
Count:
100,000
Min/Max:
27.763 to 37.231 g/l levels of carbonation
Confidence
Interval:
95%
*See the histogram in Appendix A, and descriptive statistics in Appendix B.
Carbonation Levels
Less than ten percent of the soft drinks that consumers are receiving have adequate levels of carbonation needed, while nearly 94% do not have the sufficient amount of carbonation needed to maintain the quality of taste for Ispep’s soft drinks. See the bar chart in Appendix D.
Descriptive Statistics Interpretation
Interpretation
Levels of Carbonation
One hundred thousand bottles of soft drinks were randomly selected. Their levels of carbonation were observed between 27.763 g/l and 37.231 g/l. The average carbonation level for an individual bottle of soda was 31.256, with a variation of plus or minus 3.5 g/l. One half or more were above 31.256 g/l. There is 95% confidence that the population’s levels of carbonation is between 27.763 g/l and 37.231 g/l.
APPENDIX A
Carbonation Levels Before and After Bottling Process
APPENDIX B
Descriptive Statistics of Carbonation Levels
DESCRIPTIVE STATISTICS
LEVELS OF CARBONATION (G/L)
Count
100,000
Mean
31.256 g/l
Sample Standard Deviation
3.5 g/l
Sample Variance
12.25 g/l
Minimum
27.763
Maximum
37.231
Confidence Interval 95% (lower)
27.763 g/l
Confidence Interval 95% (upper)
37.231 g/l
t(df = 95)
1.96
1st Quartile
18.362 g/l
Median
29.241 g/l
3rd Quartile
33.672 g/l
Interquartile Range
29.966 g/l
Mode
24.231 g/l
APPENDIX C
Carbonation Levels Once in Hands of Consumer
APPENDIX D
Carbonation Levels
Carbonation Levels During...