7 When members of a philanthropic organization send out a fundraising letter, they get a return from about 5% of the people on their mailing list. Theysimulated 1000 mailings for samples of size n with success rate p= 0.05. The sample statistics from each simulation are shown in the table.Complete parts a) through c).standard dev.0.04850.03070.02140.0156mean501002000.05010.05080.05040.0501a) According to the central limit theorem, what should the theoretical mean and standard deviation be for each of the sample sizes?Complete the following table.theoretical meantheoretical standard dev.2050100200(Round to four decimal places as needed.)b) How close are the theoretical values to those that were observed?Not closeO Very close

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Description: 7 When members of a philanthropic organization send out a fundraising letter, they get a return from about 5% of the people on their mailing list. Theysimulated 1000 mailings for samples of size n with success rate p= 0.05. The sample statistics from

Success rate = p = 0.05 Formulas to be used: Theoretical Mean = p Theoretical Standard Deviation =…

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Statistics

When members of a philanthropic organization send out a fundraising letter, they get a return from about 5% of the people on their mailing list. They simulated 1000 mailings for samples of size n with success rate p= 0.05. The sample statistics from each simulation are shown in the table. Complete parts a) through c). n mean standard dev. 20 0 0501 0.0485 50 100 200 0.0508 0.0504 0.0307 0.0214 0.0156 0.0501 a) According to the central limit theorem, what should the theoretical mean and standard deviation be for each of the sample sizes? Complete the following table. theoretical mean theoretical standard dev. 20 50 100 200 (Round to four decimal places as needed.) b) How close are the theoretical values to those that were observed? O Not close O Very close

When members of a philanthropic organization send out a fundraising letter, they get a return from about 5% of the people on their mailing list. They simulated 1000 mailings for samples of size n with success rate p= 0.05. The sample statistics from each simulation are shown in the table. Complete parts a) through c). n mean standard dev. 20 0 0501 0.0485 50 100 200 0.0508 0.0504 0.0307 0.0214 0.0156 0.0501 a) According to the central limit theorem, what should the theoretical mean and standard deviation be for each of the sample sizes? Complete the following table. theoretical mean theoretical standard dev. 20 50 100 200 (Round to four decimal places as needed.) b) How close are the theoretical values to those that were observed? O Not close O Very close

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 5E: List the sample space of each experiment. Rolling one die and tossing one coin

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