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. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. (Round up to the nearest integer.) b. Assume that a prior survey suggests that about 32% of air passengers prefer an aisle seat. Round up to the nearest integer.)

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**Determining Sample Size for Passenger Preference Survey**

You are the operations manager for an airline, considering introducing a higher fare for passengers in aisle seats. To make an informed decision, you need to survey air passengers. The goal is to be 95% confident that the sampled percentage is within 1.5 percentage points of the true population percentage. Below are two scenarios for determining the required sample size.

**a. When No Prior Information is Available**

Assume nothing is known about the percentage of passengers who prefer aisle seats.

- Required sample size: \( n = \) [Round up to nearest integer]

**b. When Prior Information is Available**

Assume a prior survey indicates that about 32% of air passengers prefer an aisle seat.

- Required sample size: \( n = \) [Round up to nearest integer]

This exercise helps in understanding how prior knowledge and confidence intervals affect sample size determination in surveys.
Transcribed Image Text:**Determining Sample Size for Passenger Preference Survey** You are the operations manager for an airline, considering introducing a higher fare for passengers in aisle seats. To make an informed decision, you need to survey air passengers. The goal is to be 95% confident that the sampled percentage is within 1.5 percentage points of the true population percentage. Below are two scenarios for determining the required sample size. **a. When No Prior Information is Available** Assume nothing is known about the percentage of passengers who prefer aisle seats. - Required sample size: \( n = \) [Round up to nearest integer] **b. When Prior Information is Available** Assume a prior survey indicates that about 32% of air passengers prefer an aisle seat. - Required sample size: \( n = \) [Round up to nearest integer] This exercise helps in understanding how prior knowledge and confidence intervals affect sample size determination in surveys.
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.

Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.

☐ (Simplify your answer. Round to three decimal places as needed.)
Transcribed Image Text:The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes. ☐ (Simplify your answer. Round to three decimal places as needed.)
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