Homework Help is Here – Start Your Trial Now!
Math
Statistics
An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto their Long Beach (LGB) to San Francisco (SFO) flights. Since Option 1 has more automation, the airline suspects that the mean Option 1 loading time is less than the mean Option 2 loading time. To see if this is true, the airline selects a random sample of 265 flights from LGB to SFO using Option 1 and records their loading times. The sample mean is found to be 17.6 minutes, vith a sample standard deviation of 4.7 minutes. They also select an independent random sample of 280 flights from LGB to SFO using Option 2 and record their oading times. The sample mean is found to be 18.4 minutes, with a sample standard deviation of 3.6 minutes. Since the sample sizes are quite large, it is assumed that the population standard deviation of the loading times using Option 1 and the loading times using Option 2 can be estimated to be the sample standard deviation values given above. At the 0.05 level of significance, is there sufficient evidence to support the claim that the mean Option 1 loading time, µ, is less than the mean Option 2 loading time, µ,, for the airline's flights from LGB to SFO? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H. :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO Dlo

An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto their Long Beach (LGB) to San Francisco (SFO) flights. Since Option 1 has more automation, the airline suspects that the mean Option 1 loading time is less than the mean Option 2 loading time. To see if this is true, the airline selects a random sample of 265 flights from LGB to SFO using Option 1 and records their loading times. The sample mean is found to be 17.6 minutes, vith a sample standard deviation of 4.7 minutes. They also select an independent random sample of 280 flights from LGB to SFO using Option 2 and record their oading times. The sample mean is found to be 18.4 minutes, with a sample standard deviation of 3.6 minutes. Since the sample sizes are quite large, it is assumed that the population standard deviation of the loading times using Option 1 and the loading times using Option 2 can be estimated to be the sample standard deviation values given above. At the 0.05 level of significance, is there sufficient evidence to support the claim that the mean Option 1 loading time, µ, is less than the mean Option 2 loading time, µ,, for the airline's flights from LGB to SFO? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H. :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 OSO Dlo

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto their Long Beach (LGB) to San Francisco (SFO) flights. Since Option 1 has more automation, the airline suspects that the mean Option 1 loading time is less than the mean Option 2 loading time. To see if this is true, the airline selects a random sample of 265 flights from LGB to SFO using Option 1 and records their loading times. The sample mean is found to be 17.6 minutes, with a sample standard deviation of 4.7 minutes. They also select an independent random sample of 280 flights from LGB to SFO using Option 2 and record their loading times. The sample mean is found to be 18.4 minutes, with a sample standard deviation of 3.6 minutes. Since the sample sizes are quite large, it is assumed that the population standard deviation of the loading times using Option 1 and the loading times using Option 2 can be estimated to be the sample standard deviation values given above. At the 0.05 level of significance, is there sufficient evidence to support the claim that the mean Option 1 loading time, u, , is less than the mean Option 2 loading time, µ, for the airline's flights from LGB to SFO? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. Ho :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) (e) Can we support the claim that the mean Option 1 loading time is less than the mean Option 2 loading time for the airline's flights from LGB to SFO? O Yes ONo
Transcribed Image Text:An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto their Long Beach (LGB) to San Francisco (SFO) flights. Since Option 1 has more automation, the airline suspects that the mean Option 1 loading time is less than the mean Option 2 loading time. To see if this is true, the airline selects a random sample of 265 flights from LGB to SFO using Option 1 and records their loading times. The sample mean is found to be 17.6 minutes, with a sample standard deviation of 4.7 minutes. They also select an independent random sample of 280 flights from LGB to SFO using Option 2 and record their loading times. The sample mean is found to be 18.4 minutes, with a sample standard deviation of 3.6 minutes. Since the sample sizes are quite large, it is assumed that the population standard deviation of the loading times using Option 1 and the loading times using Option 2 can be estimated to be the sample standard deviation values given above. At the 0.05 level of significance, is there sufficient evidence to support the claim that the mean Option 1 loading time, u, , is less than the mean Option 2 loading time, µ, for the airline's flights from LGB to SFO? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. Ho :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) ▼ D=0 O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) (e) Can we support the claim that the mean Option 1 loading time is less than the mean Option 2 loading time for the airline's flights from LGB to SFO? O Yes ONo
An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto their Long Beach (LGB) to San Francisco (SFO) flights. Since Option has more automation, the airline suspects that the mean Option 1 loading time is less than the mean Option 2 loading time. To see if this is true, the airline selects a random sample of 265 flights from LGB to SFO using Option 1 and records their loading times. The sample mean is found to be 17.6 minutes, with a sample standard deviation of 4.7 minutes. They also select an independent random sample of 280 flights from LGB to SFO using Option 2 and record their loading times. The sample mean is found to be 18.4 minutes, with a sample standard deviation of 3.6 minutes. Since the sample sizes are quite large, it is assumed that the population standard deviation of the loading times using Option 1 and the loading times using Option 2 can be estimated to be the sample standard deviation values given above. At the 0.05 level of significance, is there sufficient evidence to support the claim that the mean Option 1 loading time, µ, , is less than the mean Option 2 loading time, u, for the airline's flights from LGB to SFO? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) D=0 OSO (c) Fir test statistic. (Round to three or more decimal places.) O<O Chi-Square (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) (e) Can we support the claim that the mean Option 1 loading time is less than the mean Option 2 loading time for the airline's flights from LGB to SFO? O Yes O No
Transcribed Image Text:An airline is trying two new boarding procedures, Option 1 and Option 2, to load passengers onto their Long Beach (LGB) to San Francisco (SFO) flights. Since Option has more automation, the airline suspects that the mean Option 1 loading time is less than the mean Option 2 loading time. To see if this is true, the airline selects a random sample of 265 flights from LGB to SFO using Option 1 and records their loading times. The sample mean is found to be 17.6 minutes, with a sample standard deviation of 4.7 minutes. They also select an independent random sample of 280 flights from LGB to SFO using Option 2 and record their loading times. The sample mean is found to be 18.4 minutes, with a sample standard deviation of 3.6 minutes. Since the sample sizes are quite large, it is assumed that the population standard deviation of the loading times using Option 1 and the loading times using Option 2 can be estimated to be the sample standard deviation values given above. At the 0.05 level of significance, is there sufficient evidence to support the claim that the mean Option 1 loading time, µ, , is less than the mean Option 2 loading time, u, for the airline's flights from LGB to SFO? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. p H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) D=0 OSO (c) Fir test statistic. (Round to three or more decimal places.) O<O Chi-Square (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) (e) Can we support the claim that the mean Option 1 loading time is less than the mean Option 2 loading time for the airline's flights from LGB to SFO? O Yes O No
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS