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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 250 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 5.2 minutes. They also select an independent random sample of 300 flights from LGB to SFO using Option 2 and record thei loading times. The sample mean is found to be 18.4 minutes, with a sample standard deviation of 4.3 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 0.01 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, µɔ, 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,. H, : H1 - H2 H : H, - H, # 0 (b) Determine the type of test statistic to use. z D=0 OSO (c) Find the value of the test statistic. (Round to three more decimal places.) O

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 250 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 5.2 minutes. They also select an independent random sample of 300 flights from LGB to SFO using Option 2 and record thei loading times. The sample mean is found to be 18.4 minutes, with a sample standard deviation of 4.3 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 0.01 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, µɔ, 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,. H, : H1 - H2 H : H, - H, # 0 (b) Determine the type of test statistic to use. z D=0 OSO (c) Find the value of the test statistic. (Round to three more decimal places.) O

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
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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 250 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 5.2 minutes. They also select an independent random sample of 300 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 4.3 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 0.01 level of significance, is there sufficient evidence to support the claim that the mean Option 1 loading time, , 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 . O p S H1 : H, - Hy 0 (b) Determine the type of test statistic to use. D=0 (c) Find the value of the test statistic. (Round to three or more decimal places.) O#0 O<O D>O (d) Find the critical value at the 0.01 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? OYes 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 250 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 5.2 minutes. They also select an independent random sample of 300 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 4.3 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 0.01 level of significance, is there sufficient evidence to support the claim that the mean Option 1 loading time, , 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 . O p S H1 : H, - Hy 0 (b) Determine the type of test statistic to use. D=0 (c) Find the value of the test statistic. (Round to three or more decimal places.) O#0 O<O D>O (d) Find the critical value at the 0.01 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? OYes ONo
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