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Amount of Orange M&M’s in Fun Size Bags

Amount of Orange M&M’s in Fun Size Bags. Rachael Domalewski Madelyn Coffey Codie Hendrickson Chelsea Konopka. Why This Topic Was Chosen. We chose this topic because it’s a relatively simple survey, everyone likes m&m’s , and it is simple to see the variation within the sample data.

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Amount of Orange M&M’s in Fun Size Bags

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  1. Amount of Orange M&M’s in Fun Size Bags Rachael Domalewski Madelyn Coffey Codie Hendrickson Chelsea Konopka

  2. Why This Topic Was Chosen We chose this topic because it’s a relatively simple survey, everyone likes m&m’s, and it is simple to see the variation within the sample data.

  3. Summary Data Sample Mean: 4.32 orange candies Sample Standard Deviation: 1.95 N=34 Degrees of Freedom= 33 (32 on table)

  4. T OR Z? • We chose to use a t-score because we did not know the population standard deviation. The sample standard deviation is 1.95.

  5. 90% Confidence Level T= 1.694 S= 1.95 N= 34 D.O.F.= 33 (32 table) E= 1.694 x (1.95/[34^(.5)] E= .567 4.32-.567< mean < 4.32+.567 3.753< mean< 4.887 ≈ 3.8< mean < 4.9 We can be 90% confident that the true average of m&m orange candies in fun size bags is between approximately 3.8 and 4.9 candies per bag.

  6. 95% Confidence Level T= 2.037 S= 1.95 N= 34 D.O.F.= 33 (32 table) E= 2.037 x (1.95/[34^(.5)] E=.68 4.32-.68< mean < 4.32+.68 3.64 < mean< 5.oo ≈ 3.6< mean < 5 We can be 95% confident that the true average of m&m orange candies in fun size bags is between approximately 3.6 and 5 candies per bag.

  7. 98% Confidence Level T= 2.449 S= 1.95 N= 34 D.O.F.= 33 (32 table) E= 2.449 x (1.95/[34^(.5)] E= .818 4.32-.818< mean < 4.32+.818 3.502< mean< 5.138 ≈ 3.5< mean < 5.1 We can be 98% confident that the true average of m&m orange candies in fun size bags is between approximately 3.5 and 5.1 candies per bag.

  8. 99% Confidence Level T= 2.738 S= 1.95 N= 34 D.O.F.= 33 (32 table) E= 2.738 x (1.95/[34^(.5)] E= .915 4.32-.915< mean < 4.32+.915 3.405< mean< 5.235 ≈ 3.4< mean < 5.2 We can be 99% confident that the true average of m&m orange candies in fun size bags is between approximately 3.4 and 5.2 candies per bag.

  9. Comparisons • 90 - 3.8< mean < 4.9 • 95 – 3.6< mean < 5 • 98 – 3.5< mean< 5.1 • 99 – 3.4< mean< 5.2

  10. Conclusions Overall, we found that the Amount of m&m candies in Fun size bags, on average, is Between 3 and 4 candies per Bag. The red, yellow, and green m&m’s Are much more popular in Advertisements than the orange m&ms, so it makes sense that There would be a higher volume Of those colors in the bag.

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