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 90% confident that the sample percentage is within 4.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing known about the percentage of passengers who prefer aisle seats. n= 335 (Round up to the nearest integer.) b. Assume that a prior survey suggests that about 38% of air passengers prefer an aisle seat. n=D (Round up to the nearest integer.)

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### Survey Sample Size Calculation for Aisle Seat Preference

As the operations manager for an airline, you are evaluating the potential of implementing a higher fare for passengers who prefer aisle seats. To determine the market feasibility of this change, you need to conduct a survey. Specifically, you need to know how many air passengers to sample in order to ensure that your survey results are within 4.5 percentage points of the true population percentage with 90% confidence. Follow the scenarios below to calculate the required sample size:

**a. No Prior Knowledge of Preferences**
- To achieve the desired confidence level without any prior knowledge of passenger preferences:
  - Calculated sample size: **n = 335**
  - Instruction: Round up to the nearest integer.

**b. Prior Survey Data Available**
- With prior survey information suggesting that approximately 38% of passengers prefer an aisle seat:
  - Instruction: Calculate the needed sample size and round up to the nearest integer.

This process allows for accurate estimations of passenger preference which can inform pricing strategies. Adjustments in sample size based on prior data are crucial for optimizing survey efficiency and reliability.
Transcribed Image Text:### Survey Sample Size Calculation for Aisle Seat Preference As the operations manager for an airline, you are evaluating the potential of implementing a higher fare for passengers who prefer aisle seats. To determine the market feasibility of this change, you need to conduct a survey. Specifically, you need to know how many air passengers to sample in order to ensure that your survey results are within 4.5 percentage points of the true population percentage with 90% confidence. Follow the scenarios below to calculate the required sample size: **a. No Prior Knowledge of Preferences** - To achieve the desired confidence level without any prior knowledge of passenger preferences: - Calculated sample size: **n = 335** - Instruction: Round up to the nearest integer. **b. Prior Survey Data Available** - With prior survey information suggesting that approximately 38% of passengers prefer an aisle seat: - Instruction: Calculate the needed sample size and round up to the nearest integer. This process allows for accurate estimations of passenger preference which can inform pricing strategies. Adjustments in sample size based on prior data are crucial for optimizing survey efficiency and reliability.
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