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MATLAB: An Introduction with Applications

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

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular
sustained physical activity. What sample size should be obtained if she wishes the estimate to be within five percentage
points with 95% confidence, assuming that
(a) she uses the estimates of 22.9% male and 19.5% female from a previous year?
(b) she does not use any prior estimates?

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On April 15th, 1912, the R.M.S. Titanic sank into the North Atlantic Ocean, resulting in the loss of more than 1,500 passengers and crew. Below is a table which summarizes the total number of passengers and the number of survivors for the crew, first-, second-, and third-class. Find the proportion of survivors by type of service (crew, first, second, third). Test the hypothesis at the 99% confidence level that the proportion of first-class survivors is the same as third class (.25).What do you calculate for the test-statistic? What is the critical statistic? What is the conclusion of your hypothesis test? Passengers survivedCrew 885 212First 325 202Second 285 118Third 706 178Total 2201 710
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if he wishes the estimate to be within three percentage points with 95% confidence, assuming that (a) he uses the estimates of 22.4% male and 19.2% female from a previous year? (b)he does not use any prior estimates? (a) n= (Round up to the nearest whole number.) (b) n= (Round up to the nearest whole number.)
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if she wishes the estimate to be within four percentage points with 90% confidence, assuming that (a) she uses the estimates of 22.4% male and 18.2% female from a previous year? (b) she does not use any prior estimates? (4) th) Round up to the nearest whole number) Round up to the nearest whole number)
The Labor Bureau wants to estimate, at a 90% confidence level, the proportion of all households that receive welfare. The most conservative estimate of the sample size that would limit the margin of error to be within 0.030 of the population proportion is:
Suppose a 90 percent confidence interval to estimate a population proportion was calculated from a sample proportion of 18 percent and a margin of error of 4 percent. What is the width of the confidence interval?
We want to estimate the proportion of cities that have private refuse collectors. We want to estimate the population proportion with a margin of error of 0.10, with a confidence level of 90%, with a prior population proportion of 40%. What is the required sample size?
Suppose we know that a confidence interval for a population proportion is (0.105,0.355), with a sample proportion of p̂=0.23. What is the margin of error?
What is the approximate sample size required to estimate the percentage of Americans who have earned a college degree to within 2%, with 95% confidence?
If you want to construct a 90% confident interval for a population mean such that it is within a quarter (population) standard deviation from the sample mean, then what is the minimum sample size required?
ESPN believed that 30 percent of Sportszone visitors were females. To test this hypothesis, it collected audience profile data at the ESPN SportsZone Web site and found that 36% of the visitors were females. Assume that this sample value was based on a sample of 300 users. Test its hypothesis using 95% confidence level.
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if she wishes the estimate to be within three percentage points with 90% confidence, assuming that (a) she uses the estimates of 21.7% male and 18.7% female from (b) she does not use any prior estimates? previous year? (a) n= (Round up to the nearest whole number.) (b) n= (Round up to the nearest whole number.)

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