Find the sample size needed to estimate the mean age of movie patrons such that it can be said with 95​%confidence that the sample mean is within 1.5 years of the population mean. Assume that σ=19.6 ​years, based on a previous report. Could the sample be obtained from one movie at one​ theater?         Question content area bottom Part 1 The required sample size is:   Part 2 Could the sample be obtained from one movie at one​ theater?     A. The sample should not be obtained from one movie at one​ theater, because that sample could be easily biased.​ Instead, a stratified sample of the broader population should be obtained.   B. The sample should not be obtained from one movie at one​ theater, because that sample could be easily biased.​ Instead, a cluster sample of the broader population should be obtained.   C. The sample should be obtained from one movie at one​ theater, because that sample is representative of the population.   D. The sample should not be obtained from one movie at one​ theater, because that sample could be easily biased.​ Instead, a simple random sample of the broader population should be obtained.

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
Find the sample size needed to estimate the mean age of movie patrons such that it can be said with 95​%confidence that the sample mean is within 1.5 years of the population mean. Assume that
σ=19.6 ​years, based on a previous report. Could the sample be obtained from one movie at one​ theater?
 
 
 
 

Question content area bottom

Part 1
The required sample size is:  
Part 2
Could the sample be obtained from one movie at one​ theater?
 
 
A.
The sample should not be obtained from one movie at one​ theater, because that sample could be easily biased.​ Instead, a stratified sample of the broader population should be obtained.
 
B.
The sample should not be obtained from one movie at one​ theater, because that sample could be easily biased.​ Instead, a cluster sample of the broader population should be obtained.
 
C.
The sample should be obtained from one movie at one​ theater, because that sample is representative of the population.
 
D.
The sample should not be obtained from one movie at one​ theater, because that sample could be easily biased.​ Instead, a simple random sample of the broader population should be obtained.
A random sample of 863 births in a state included 429 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.512. Do
these sample results provide strong evidence against that belief?
Construct a 95% confidence interval estimate of the proportion of boys in all births.
<p< (Round to three decimal places as needed.)
Do these sample results provide strong evidence against that belief?
A. There is not strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is contained within the 95% confidence interval.
B. There is strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is contained within the 95% confidence interval.
C. There is strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is not contained within the 95% confidence interval.
D. There is not strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is not contained within the 95% confidence interval.
Transcribed Image Text:A random sample of 863 births in a state included 429 boys. Construct a 95% confidence interval estimate of the proportion of boys in all births. It is believed that among all births, the proportion of boys is 0.512. Do these sample results provide strong evidence against that belief? Construct a 95% confidence interval estimate of the proportion of boys in all births. <p< (Round to three decimal places as needed.) Do these sample results provide strong evidence against that belief? A. There is not strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is contained within the 95% confidence interval. B. There is strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is contained within the 95% confidence interval. C. There is strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is not contained within the 95% confidence interval. D. There is not strong evidence against 0.512 as the value of the proportion of boys in all births because 0.512 is not contained within the 95% confidence interval.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE 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