A survey conducted in year 2021 suggested that 210 out of 300 (70 percent) of university studentsworked in the summer of 2021. A similar survey is planned for year 2022. Researchers believe thatthe 70 percent fraction will remain unchanged. They wish to construct a 90 percent confidenceinterval for the difference in proportions and wish to ensure a margin of error at 5 percent. Find therequired sample size for the 2022 survey.

The confidence level is 90%, population proportion is 70%, and margin of error is 5%.

Answered: A survey conducted in year 2021…

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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Suppose that the owner of a recently opened convenience store in Kuala Lumpur, Malaysia, wants to estimate how many pounds of bananas are sold during a typical day. The owner checks his sales records for a random sample of 16 days and establishes that the mean number of pounds sold per day is 75 pounds and that the sample standard deviation is 6 pounds. Estimate the mean number of pounds the owner should stock each day to a 95% confidence level.
A small business wanted to estimate the mean income from their customers. They took a sample of 256 customers which yielded a sample mean of $71,250 with a standard deviation of $5,800 . What is the 90% confidence interval estimate for the population mean income of their customers.
According to a study of 90 truckers, a trucker drives, on average, 560 miles per day. If the standard deviation of the miles driven per day for the population of truckers is 40, find the 95% confidence interval of the mean number of miles driven per day by all truckers.
2. A sample of six college basketball player had an average weight of 217 pounds with a sample standard deviation of 10 pounds. Find the 95% confidence interval of the true mean weight of all basketball player.
What is the minimum required sample size to make a 96% confidence interval for a population mean if the margin of error is to be 2 inches and the standard deviation is thought to be about 12 inches?
Suppose you work for the Department of Environment and National Resources (DENR). You want to estimate, with 95% confidence, the mean length of all tilapia in a fish hatchery pond. You take a random sample of 10 tilapia and determine the average length is 10.5 inches and the sample standard deviation is 2.9 inches. Construct a confidence interval for this sample and interpret the result.
An internet study was mailed to 2336 subjects randomly. 1108 surveys were returned. Construct a 95% confidence interval for the proportion of the returned surveys. identify the margin of error E.
The average entrance exam score of a random sample of 35 freshmen students is 89.66 with a standard deviation of 18.28. Construct a 96% confidence interval for the true mean score of the freshmen students.
Consider the sample dataset : 2,4,5,9,10. What is point estimate and sample standard deviation? What is margin of error at 95% confidence level? Calculate confidence intervals at 95% confidence level.

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