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,

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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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