You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 1.5 percentage points of the true population percentage. Complete parts (a) and (b) below.
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 95% confident that the sample percentage is within 1.5 percentage points of the true population percentage. Complete parts (a) and (b) below.
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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![**Surveying Air Passengers: Sample Size Calculation**
As the operations manager for an airline, you're considering implementing a higher fare for passengers seated in aisle seats. To proceed, you need to determine the appropriate sample size of air passengers to survey to ensure statistical confidence in your results.
### Problem Statement:
Determine the number of randomly selected air passengers required for a survey to be 95% confident that the sample percentage is within 1.5 percentage points of the true population percentage for those preferring aisle seats.
### Calculations:
**a. No Prior Knowledge of Preferences:**
- When there is no prior information about the percentage of passengers who prefer aisle seats, calculate the necessary sample size.
- Required Sample Size: **n = 4269**
- *(Ensure to round up to the nearest integer)*
**b. Known Preference Percentage:**
- If a prior survey indicates that approximately 33% of air passengers prefer aisle seats, adjust the calculation accordingly.
- Required Sample Size: **n =** (calculation needed)
- *(Ensure to round up to the nearest integer)*
This setup allows the airline to accurately gauge aisle seat preferences, thereby making informed decisions regarding pricing strategies.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F626680b8-87a8-442c-b0ab-f04aa1b187bb%2F1104b733-0344-4777-9d33-377b03adddc9%2Fax0uhpr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Surveying Air Passengers: Sample Size Calculation**
As the operations manager for an airline, you're considering implementing a higher fare for passengers seated in aisle seats. To proceed, you need to determine the appropriate sample size of air passengers to survey to ensure statistical confidence in your results.
### Problem Statement:
Determine the number of randomly selected air passengers required for a survey to be 95% confident that the sample percentage is within 1.5 percentage points of the true population percentage for those preferring aisle seats.
### Calculations:
**a. No Prior Knowledge of Preferences:**
- When there is no prior information about the percentage of passengers who prefer aisle seats, calculate the necessary sample size.
- Required Sample Size: **n = 4269**
- *(Ensure to round up to the nearest integer)*
**b. Known Preference Percentage:**
- If a prior survey indicates that approximately 33% of air passengers prefer aisle seats, adjust the calculation accordingly.
- Required Sample Size: **n =** (calculation needed)
- *(Ensure to round up to the nearest integer)*
This setup allows the airline to accurately gauge aisle seat preferences, thereby making informed decisions regarding pricing strategies.
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