Question

In: Statistics and Probability

You are the operations manager for an airline and you are considering a higher fare level...

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 2.5 percentage points of the true population percentage. Complete parts​ (a) and​ (b) below.

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

n=  

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

n=

Solutions

Expert Solution

Solution :

Given that,

margin of error = E = 0.025

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96

(a)

= 0.5

1 - = 1 - 0.5 = 0.5

sample size = n = (Z / 2 / E )2 * * (1 - )

= (1.96 / 0.025)2 * 0.5 * 0.5

= 1537

sample size = n = 1537

(b)

= 0.32

1 - = 1 - 0.32 = 0.68

sample size = n = (Z / 2 / E )2 * * (1 - )

= (1.96 / 0.025)2 * 0.32 * 0.68

= 1338

sample size = n = 1338


Related Solutions

You are the operations manager for an airline and you are considering a higher fare level...
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 a prior survey suggests that about 53​% of air passengers prefer an aisle seat. Assume that you want to be 90% confident that the sample percentage is within 4.5 percentage points of the true population percentage. Round the answer to the nearest large whole number!
You are the operations manager for an airline and you are considering a higher fare level...
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 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. n= b. Assume that a prior survey suggests...
You are the operations manager for an airline and you are considering a higher fare level...
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 99% confident that the sample percentage is within 2.5 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. n=__ b. Assume that a prior survey...
You are the operations manager for an airline and you are considering a higher fare level...
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 is known about the percentage of passengers who prefer aisle seats. n=? ​ (Round up to the nearest​...
You are the operations manager for an airline and you are considering a higher fare level...
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 a prior survey suggests that about 73​% of air passengers prefer an aisle seat. Assume that you want to be 97% confident that the sample percentage is within 2.5 percentage points of the true population percentage.
You are the operations manager for an airline and you are considering a higher fare level...
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 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. n= 3007 b. Assume that a prior...
You are the operations manager for an airline and you are considering a higher fare level...
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 99​% confident that the sample percentage is within 3.5 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. nequals b. Assume that a prior survey...
You are the operations manager for an airline and you are considering a higher fare level...
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 3.5 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. nequals nothing ​(Round up to the nearest​...
You are the operations manager for an airline and you are considering a higher fare level...
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 99​% confident that the sample percentage is within 2.5 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.)...
You are the operations manager for an airline and you are considering a higher fare level...
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 9090​% confident that the sample percentage is within 1.51.5 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. nequals=nothing ​(Round up to the nearest​ integer.)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT