An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.3 years of the population mean. Assume thepopulation of ages is normally distributed.(a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.7years.(b) The sample mean is 21 years of age. Using the minimum sample size with a 90% level of confidence, does it seem likely that the population mean could be within8% of the sample mean? within 9% of the sample mean? Explain.Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table.(a) The minimum sample size required to construct a 90% confidence interval isstudents.(Round up to the nearest whole number.)

a) The given Data : Required margin of error = 1.31.3 Population standard deviation σ\sigma =…

Answered: (a) The minimum sample size required to…

(a) The minimum sample size required to construct a 90% confidence interval is students. (Round up to the nearest whole number.)

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

An admissions director wants to estimate the mean age of all students enrolled at a college. The estimate must be within 1.3 years of the population mean. Assume the
population of ages is normally distributed.
(a) Determine the minimum sample size required to construct a 90% confidence interval for the population mean. Assume the population standard deviation is 1.7
years.
(b) The sample mean is 21 years of age. Using the minimum sample size with a 90% level of confidence, does it seem likely that the population mean could be within
8% of the sample mean? within 9% of the sample mean? Explain.
Click here to view page 1 of the Standard Normal Table. Click here to view page 2 of the Standard Normal Table.
(a) The minimum sample size required to construct a 90% confidence interval is
students.
(Round up to the nearest whole number.)

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