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Show all your work Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Researchers are studying two populations of sea turtles, In population D. 30 percent of the turties have a shell length greater than 2 feet. In population E. 20 percent of the turtles have a shell length greater than 2 feet. Froma random sample of 40 turtes selected from D.15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected fromE. 11 had a shell length greater than 2 feet. Let pry represent the sample proportion for D, and let p represent the sample proportion for E (a)What is the value of the difference pryPr?Show your work. (b) What are the mean and standard deviation of the sampling distribution of the difference in sample proportions p P:? Show your work and label each value. (c) Can it be assumed that the sampling distribution of the difference of the sample proportions pn Peis approxımately normal? Justify your answer. (d) Consider your answer in part (a). What is the probability that p Pris greater than the value found in part (a)? Show your work,

Show all your work Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Researchers are studying two populations of sea turtles, In population D. 30 percent of the turties have a shell length greater than 2 feet. In population E. 20 percent of the turtles have a shell length greater than 2 feet. Froma random sample of 40 turtes selected from D.15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected fromE. 11 had a shell length greater than 2 feet. Let pry represent the sample proportion for D, and let p represent the sample proportion for E (a)What is the value of the difference pryPr?Show your work. (b) What are the mean and standard deviation of the sampling distribution of the difference in sample proportions p P:? Show your work and label each value. (c) Can it be assumed that the sampling distribution of the difference of the sample proportions pn Peis approxımately normal? Justify your answer. (d) Consider your answer in part (a). What is the probability that p Pris greater than the value found in part (a)? Show your work,

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Show all your work Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Researchers are studying two populations of sea turtles, In population D. 30 percent of the turties have a shell length greater than 2 feet. In population E. 20 percent of the turtles have a shell length greater than 2 feet. Froma random sample of 40 turtes selected from D.15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected fromE. 11 had a shell length greater than 2 feet. Let pry represent the sample proportion for D, and let p represent the sample proportion for E (a)What is the value of the difference pryPr?Show your work. (b) What are the mean and standard deviation of the sampling distribution of the difference in sample proportions p P:? Show your work and label each value. (c) Can it be assumed that the sampling distribution of the difference of the sample proportions pn Peis approxımately normal? Justify your answer. (d) Consider your answer in part (a). What is the probability that p Pris greater than the value found in part (a)? Show your work,
Transcribed Image Text:Show all your work Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Researchers are studying two populations of sea turtles, In population D. 30 percent of the turties have a shell length greater than 2 feet. In population E. 20 percent of the turtles have a shell length greater than 2 feet. Froma random sample of 40 turtes selected from D.15 had a shell length greater than 2 feet. From a random sample of 60 turtles selected fromE. 11 had a shell length greater than 2 feet. Let pry represent the sample proportion for D, and let p represent the sample proportion for E (a)What is the value of the difference pryPr?Show your work. (b) What are the mean and standard deviation of the sampling distribution of the difference in sample proportions p P:? Show your work and label each value. (c) Can it be assumed that the sampling distribution of the difference of the sample proportions pn Peis approxımately normal? Justify your answer. (d) Consider your answer in part (a). What is the probability that p Pris greater than the value found in part (a)? Show your work,
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