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In a large class of introductory Statistics students, the professor has each person toss a coin 22 times and calculate the proportion of his or

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In a large class of introductory Statistics students, the professor has each person toss a coin 22 times and calculate the proportion of his or her tosses that were heads. Complete parts a through d below. b) Use the 68-95-99.7 Rule to describe the sampling distribution model. About 68% of the students should have proportions between and , about 95% between and , and about 99.7% between ] and] (Type integers or decimals rounded to four decimal places as needed. Use ascending order.) c) They increase the number of tosses to 78 each. Draw and label the appropriate sampling distribution model. Check the appropriate conditions to justify your model. The Independence Assumption satisfied because the sample proportions independent of each other since one sample proportion another sample proportion. The Success/Failure Condition satisfied because no = and nq = , which are both (Type integers or decimals. Do not round.) Use the graph below to describe the sampling distribution model. Range A Range B Range C p-hat Range A, which corresponds to % of the proportions, spans from and . Range B, which corresponds to ]% of the proportions, spans from and . Range C, which corresponds to % of the proportions, spans from and (Type integers or decimals rounded to four decimal places as needed. Use ascending order.) d) Explain how the sampling distribution model changes as the number of tosses increases. O A. The sampling distribution model shifts to the right because the mean of the distribution will increase. O B. The sampling distribution model becomes wider because the standard deviation of the distribution will increase OC. The sampling distribution model shifts to the left because the mean of the distribution will decrease. X S More Click to select your answer(s)

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