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
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Author:Amos Gilat
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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.
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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