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Transcript of GUMMY WORMS
Conditions (cc) photo by Metro Centric on Flickr (cc) photo by jimmyharris on Flickr (cc) photo by Metro Centric on Flickr _________________________ Observed The data is not significant and we fail to reject the null that Trolli Sour Bite Crawlers gummy worms are distributed evenly. Conditions Data Purpose Gummy Worms Cole Antman & Sarah Colwell 116.33 Expected Observed-Expected Expected Color .64617 2.0202 yellow/red blue/pink .38244 orange/green Color Amount orange/green blue/pink 116.33 116.33 yellow/red (cc) image by anemoneprojectors on Flickr Color Amount orange/green blue/pink 123 yellow/red 101 125 Χ2 x 2 X WORK X 2 = .38124
2.0202 3.0488 P = x 2 cdf (3.0488,1000000,2) p = .2178 Observed Expected x 2 yellow/red
101 349 116.33
116.33 2 p = = 3.0488 .2178 Conclusion Hypotheses Ho: The actual amount of each color of gummy worm is equal to a uniform distribution of each color of gummy worm.
Ha: The actual amount of each color of gummy worm is not equal to a uniform amount of each color of gummy worm. We choose to do a chi-squared experiment because the formula properly answers the question, "Are the different color Trolli Sour Brite Crawlers evenly distributed throughout each package as is stated?" All expected counts are at least 1. Not more than 20% of expected are less than 5. Both of these conditions are met, and we are now further able to calculate our Chi-Square Test Statistic. 349 (total amount of gummy worms) 3 (different colors of gummy worms) = 116.33 (expected uniform distribution) Design Used- Chi Squared Table The Chi-Squared formula is the Observed subtracted by the Expected values squared divided by the expected. The formula will allow us to test if our observed is equal to our expected or if the observed is not equal, less than or more than the expected.