11. Šuppose that a researcher wants to estimate the percentage of allstudents whose CGPA is above 3.25.(a) If it can be presumed that the sample proportion (from apreliminary sample) is 0.73 and the maximum error that can betaken is 0.026, at 96.5% confidence level could you estimate theapproximate sample size?(b) What is the approximate sample size for (a), if preliminarysample is not being considered?

Given that Proportion p = 0.73 Margin of error E = 0.026 The critical value of Z at 96.5% confidence…

Answered: Suppose that a researcher wants to…

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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5) How many commuters must be randomly selected to estimate the mean driving time of 5) Chicago commuters? We want 98% confidence that the sample mean is within 5 minutes of the population mean, and the population standard deviation is known to be 7 minutes. a. Shade and label the missing parts in graph for a 98% confidence interval. (You may use Excel or a calculator to find the z-score. Round the z-score to two decimal places.) Area to the Area to the Area in the right = left = middle = z = b. The minimum number of commuters that must be randomly selected to be within 4 (You must show how you set up and calculate this answer. Only minutes is having calculator work will not count.)
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.)
Suppose you take a sample of size 46 from a Normal distribution with unknown population mean and a population standard deviation of 11. You find your sample has mean 406 and intend to use this as an estimate in a confidence interval. If you wish to construct a 95% confidence interval, what margin of error should you use? Give your answer to two decimal places
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)
What sample size is needed to estimate a population mean within ±50 of the true mean value using a confidence level of 99%, if the true population variance is known to be 180,625? The sample size must be at least________ (Round up to the nearest whole number.)
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?
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.01 with 90% confidence if (a) she uses a previous estimate of 0.38? (b) she does not use any prior estimates?
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 five percentage points with 99% confidence, assuming that (a) he uses the estimates of 21.6% male and 18.7% female from a previous year? (b) he does not use any prior estimates?
A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.03 with 90% confidence if (a) she uses a previous estimate of 0.34? (b) she does not use any prior estimates?
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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