Section 6.1 (please help with TI-84 calculator commands when possible) 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 1.8 years. ​(b) The sample mean is

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Section 6.1 (please help with TI-84 calculator commands when possible)

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
1.8
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.
A). The minimum sample size required to construct a 90% confidence interval is _________ students. (Round to the nearest whole number)
 
B) The 90% confidence interval is ________ , _________ . It (1) does or does not. Seem likely that the population mean could bed within 8% of the sample mean because 8% off from the sample mean would fall (2) outside or inside the confidence interval.  It (3) does or does not seem likely that the population mean could be within 9% of the sample mean because 9% off from the sample mean would fall (4) inside or outside the confidence interval .   (Round to 2 decimal places as needed)
 
 
 
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman