Answered: 9.g Between holiday travel, popular…

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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Use the following prompt to complete subquestion 9.g

Below are a number of research problems involving various airlines. For each, determine if the most appropriate statistical analysis technique is conducting a hypothesis test or constructing a confidence interval. Then, select the symbol for the corresponding parameter of interest.

You should make TWO selections for each question (one for the appropriate statistical analysis technique and one for the corresponding parameter of interest).

9.a

A large random sample of Delta flights and an independent large random sample of United flights are to be collected. For each flight, whether or not the flight is on time will be recorded. This data will then be used to estimate the difference in rates of flights that are on-time for Delta versus United.

a. Hypothesis Test

b. Confidence Interval

c. p

d. p₁ - p₂

e. μ

f. μ_d

g. μ₁ - μ₂

9.b

When flying a budget airline, you want to spend the least amount of time on the plane. To see whether JetBlue or Frontier has quicker flights, on average, a random sample of 40 shared direct flight routes (that both airlines offer) will be seleted and the flight times of both airlines will be recorded. This data will be used to estimate the average difference in flight times between JetBlue and Frontier for shared direct flights routes.

a. Hypothesis Test

b. Confidence Interval

c. p

d. p₁ - p₂

e. μ

f. μ_d

g. μ₁ - μ₂

9.c

Southwest has a unique boarding procedure - customers are given a prioirty number and then choose a seat at the time of boarding (based on their priority number). A random sample of 80 airline customers will be asked if they prefer Southwest's boarding procedure (over the standard assigned seating of most airlines). This data will then be used to evaluate if a majority of airline customers prefer Southwest's boarding procedure (over the standard assigned seating of most airlines).

a. Hypothesis Test

b. Confidence Interval

c. p

d. p₁ - p₂

e. μ

f. μ_d

g. μ₁ - μ₂

9.d

Delta strives for quick baggage return - they promise that your checked bag will arrive at the carousel in 20 minutes or less after any domestic flight. If not, you are eligible to receive 2,500 bonus miles. The time it takes for checked bags to arrive at the carousel for a random sample of 34 domestic flights will be recorded and used to determine if the average return time is less than Delta's promise.

a. Hypothesis Test

b. Confidence Interval

c. p

d. p₁ - p₂

e. μ

f. μ_d

g. μ₁ - μ₂

9.e

While planning a flight out of New York City, one might wish to know whether it is quicker to get through security at LaGuardia or JFK International. A random sample of 50 LaGuardia air travelers and an independent random sample of 50 JFK International air travelers will be observed and the time it takes to get through security will be recorded for each air traveler. This data will then be used to assess if, on average, air travelers get through security faster at LaGuardia than JFK International.

a. Hypothesis Test

b. Confidence Interval

c. p

d. p₁ - p₂

e. μ

f. μ_d

g. μ₁ - μ₂

9.f

Spirit Airlines has a checked bag weight allowance of 40 lbs. If a checked bag weighs more than this 40 lb limit, the customer must pay an additional fee. A random sample of 38 checked bags (for Spirit Airlines) will be selected and weighed. This data will then be used to estimate the proportion of all checked bags (for Spirit Airlines) that will incur an additional fee.

a. Hypothesis Test

b. Confidence Interval

c. p

d. p₁ - p₂

e. μ

f. μ_d

g. μ₁ - μ₂

9.g

Between holiday travel, popular weekends, and various regional events, the number of air travelers fluctuates wildly on a day-to-day basis. A random sample of 50 days throughout the upcoming year will be selected and the number of air travelers at both Denver International Airport (DIA) and Dallas/Fort Worth International Airport (DFW) will be recorded for each day. This data will then be used to estimate the average difference in daily air travelers between DIA and DFW.

a. Hypothesis Test

b. Confidence Interval

c. p

d. p₁ - p₂

e. μ

f. μ_d

g. μ₁ - μ₂

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