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sod A NOVA. By: Jordan P, Abby T, Maddie K . What we wanted to know?. We wanted to know if there was a difference in the mean amount of time it took different brands of soda to go flat. What we did. We went to Target Bought a 12 pack of each of the 8 brands of soda. Sunkist Diet Pepsi
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sodANOVA By: Jordan P, Abby T, MaddieK
What we wantedto know? We wanted to know if there was a difference in the mean amount of time it took different brands of soda to go flat.
Whatwedid • We went to Target • Bought a 12 pack of each of the 8 brands of soda. • Sunkist • Diet Pepsi • Coke Zero • Sprite Zero • Mountain Dew • A&W Root Beer • Pepsi • Ginger Ale • We used 6 cans of each brand of soda
WhatWeDid • We laid 6 plastic cups across a table • We poured one can of Sunkist in each of the each 6 plastic cups. • Then we timed the number of minutes it took for the bubbles to consistently stop rising to the top of the cup. • We did the same process in the same location for each of the remaining 7 brands of soda.
OurVariables • Sunkist • Diet Pepsi • Coke Zero • Sprite Zero • Mountain Dew • A&W Root Beer • Pepsi • Ginger Ale
Hypotheses Ho: There is no difference in the mean time it takes for a can of soda to become flat for each brand of soda. ( µ1=µ2=µ3=µ4=µ5=µ6=µ7=µ8) HA: There is a difference in the mean time it takes for a can of soda to become flat for each brand of soda.
Assumptions&Conditions • Random: We used a random number generator to select the case off the shelf at Target. We selected the cans at random by using a random number generator (Multistage randomization) • 10% condition: The 6 samples of each soda are less than 10% of all sodas. • Equal Variance: The boxplots of soda data are approximately equal spread. • Nearly Normal: The boxplots show no obvious skewdness. • Independent Groups: The amount of time it takes for one brand of soda to go flat should not affect another.
AnalysisofVariance • With F-statistic of 27.707 there are 7 and 40 degrees of freedom. • With a p-value this small (less than .0001) we reject the null hypothesis. • We have strong evidence that at least one mean time for a brand of soda to become flat is different than the others.
Conclusions • We are not surprised by this outcome. • Different sodas have different formulas, and the amount of carbonation depends on the formula. • We correctly predicted that the amount of time necessary for sodas to become flat varies with the type of soda. • Canada Dry Ginger Ale and Sprite Zero appear to take a longer time to become flat than the other brands that we tested. • Coke Zero and Mountain Dew appear to become flat in a shorter amount of time than the other brands we tested.