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M&M's come in many colors. It is claimed that 10% of the candies are green and that bags are packed randomly. Suppose that the candies are packed in small bags containing 56 candies. A class of elementary school students learning about percents opens several bags, counts the various colors of the candies, and calculates the proportion that are green. Complete parts a through d below. a) If we plot a histogram showing the proportions of green candies in the various bags, what shape would you expect it to have? OA. A skewed left shape OB. An approximately Normal shape OC. A skewed right shape OD. The shape cannot be determined. b) Can the histogram be approximated by a Normal model? Explain. Select the correct choice below and fill in the answer box(es) within your choice. (Type an integer or decimal rounded to one decimal place as needed.) OA. No. The Independence Assumption is met since the candies are independent of each other, the Randomization Condition is met since the candies are chosen randomly, but the 10% Condition is not met since nq = < 10. OB. No. The Independence Assumption is met since the candies are independent of each other, the Randomization Condition is met since the candies are chosen randomly, but the 10% Condition is not met since np = <10. OC. Yes. The Independence Assumption is met since the candies are independent of each other, the Randomization Condition is met since the candies are chosen randomly, and the 10% Condition is met since np = 210 and nq= ≥10. c) Where should the center of the histogram be? var7

candes. A chus of elementary schoel studerts leaming about percents opens several bogs, counts the varous colors of the candies, and calculates the proporion that are green. Conplete pats a treogh d below A. A sueved leh thape B. Ar approvimainy Normal ahage C. A shewed nght sjape 0. The wase cevinct be detarmined to one decimal place an pesdes) A. Na. The Mdependence Assunptos is thet tunce se candes ace independert d each other, the Pandemaration Conditon is met since the candes are chosen fandomly, But the $10%$ Condeon is net mot sincen na" $×10$ 8. Na. The hdependence Assumplon is met since the candies ave independent of each other, the Randomirabon Condion is met since the canclies are chosen randoenly, but the $16%$ Contion is net met since ro: $ctO$

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