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Mathematics, 21.04.2020 07:20, juan1216av
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 turtles have a shell length greater than 2 feet. In
population E, 20 percent of the turtles have a shell length greater than 2 feet. From a random sample of 40 turtles selected from D, 15 had a
shell length greater than 2 feet. From a random sample of 60 turtles selected from E, 11 had a shell length greater than 2 feet. Let PD
represent the sample proportion for D, and let PE represent the sample proportion for E.
(a) What is the value of the difference PD - PE? Show your work
(b) What are the mean and standard deviation of the sampling distribution of the difference in sample proportions PD - PE? Show your work and label each value.
(c) Can it be assumed that the sampling distribution of the difference of the sample proportions PD - PE is it approximately normal? Justify your answer.
(d) Consider your answer in part (a). What is the probability that PD - PE is greater than the value found in part (a)? Show your work.
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Answers: 1
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Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.
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