Answered: For this problem, carry at least four…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.

What percentage of your campus student body is female? Let p be the proportion of women students on your campus.

(a)If no preliminary study is made to estimate p, how large a sample is needed to be 99% sure that a point estimate p̂ will be within a distance of 0.05 from p? (Round your answer up to the nearest whole number.)

=__students

(b)A report indicates that approximately 59% of college students are females. Answer part (a) using this estimate for p. (Round your answer up to the nearest whole number.)

=__students

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.How hard is it to reach a businessperson by phone? Let p be the proportion of calls to businesspeople for which the caller reaches the person being called on the first try.

(a) If you have no preliminary estimate for p, how many business phone calls should you include in a random sample to be 80% sure that the point estimate p̂ will be within a distance of 0.03 from p? (Round your answer up to the nearest whole number.)
=__ phone calls

(b) A report states that businesspeople can be reached by a single phone call approximately 14% of the time. Using this (national) estimate for p, answer part (a). (Round your answer up to the nearest whole number.)
=__ phone calls

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.A random sample of medical files is used to estimate the proportion p of all people who have blood type B.

(a) If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 85% sure that the point estimate p̂ will be within a distance of 0.07 from p? (Round your answer up to the nearest whole number.)
=__medical files

(b) Answer part (a) if you use the preliminary estimate that about 12 out of 90 people have blood type B.
=__medical files

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