Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its avera number of unoccupied seats per flight over the past year. To accomplish this, the records of 250 flights are randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample m is 11.3 seats and the sample standard deviation is 4.5 seats. Construct a 92% confidence interval for the population mean number of unoccupied seats per flight. State the confidence interval. (Round your answers to two decimal places.) а. b. Calculate the error bound. (Round your answer to two decimal places.)

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
Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average
number of unoccupied seats per flight over the past year. To accomplish this, the records of 250 flights are
randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample mean
is 11.3 seats and the sample standard deviation is 4.5 seats.
Construct a 92% confidence interval for the population mean number of unoccupied seats per flight.
State the confidence interval. (Round your answers to two decimal places.)
а.
b.
Calculate the error bound. (Round your answer to two decimal places.)
Transcribed Image Text:Unoccupied seats on flights cause airlines to lose revenue. Suppose a large airline wants to estimate its average number of unoccupied seats per flight over the past year. To accomplish this, the records of 250 flights are randomly selected and the number of unoccupied seats is noted for each of the sampled flights. The sample mean is 11.3 seats and the sample standard deviation is 4.5 seats. Construct a 92% confidence interval for the population mean number of unoccupied seats per flight. State the confidence interval. (Round your answers to two decimal places.) а. b. Calculate the error bound. (Round your answer to two decimal places.)
Expert Solution
Step 1

Given Information:

n=250X¯=11.3S=4.5

a)

Confidence level=92%

Significance level=1-0.92=0.08

Degrees of freedom=n-1=250-1=249

t critical value, t=1.7579, from the excel function, =T.INV.2T(0.08,249)

92% confidence interval:

CI=x¯±tsn    =11.3±1.7579*4.5250   =11.3±0.5003  =10.80, 11.80

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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