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Week 3 DQ1

# Week 3 DQ1 - Week 3 DQ1 I bought the smallest bags of M&Ms...

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Week 3 DQ1 I bought the smallest bags of M&M’s I could find. The Milk Chocolate bag had 57 M&M’s inside while the Peanut bag had 21 M&M’s inside. The data is displayed in the following table: # of Milk Chocolate Sample % of Milk Chocolate Sample # of Peanut Sample % of Peanut Sample Brown 7 12.2% 4 19.0% Yellow 15 26.3% 2 9.52% Green 12 21.0% 5 23.8% Red 10 17.5% 3 14.3% Orange 8 14.0% 4 19.0% Blue 5 8.7% 3 14.3% Totals = 57 21 I decided since the yellow M&M’s had the largest difference that I am focusing on the difference of percentages. I chose to use a two-tailed test to try to reject the null. peanut milkchoc H π π = : 0 OR 0 : 0 = - peanut milkchoc H π π , meaning that the amount of yellow M&M’s in each bag are the same. peanut milkchoc A H π π : OR 0 : - peanut milkchoc A H π π , meaning that the amount of yellow M&M’s in the milk chocolate bag is not equal to the amount of M&M’s in the peanut bag. Using a level of significance of 5% (α = .05), the right-tail critical and left-tail critical is 1.96 and -1.96 respectively. Using excel the right-tail critical can be found using NORMSINV(0.975) and the left-tail critical can be found using NORMSINV(.025). Reject the null hypothesis ( 0 H ) if the calc Z

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