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...




























(d)Find thep-value. (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?




Yes

No















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<br>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<br>airline selects a random sample of 275 flights from LGB to SFO using Option 1 and records their loading times. The sample mean is found to be 17.7 minutes,<br>with a sample standard deviation of 5.6 minutes. They also select an independent random sample of 295 flights from LGB to SFO using Option 2 and record their<br>loading times. The sample mean is found to be 18.3 minutes, with a sample standard deviation of 4.2 minutes. Since the sample sizes are quite large, it is<br>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<br>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,<br>, 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.<br>Carry your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.)<br>

Extracted 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 275 flights from LGB to SFO using Option 1 and records their loading times. The sample mean is found to be 17.7 minutes, with a sample standard deviation of 5.6 minutes. They also select an independent random sample of 295 flights from LGB to SFO using Option 2 and record their loading times. The sample mean is found to be 18.3 minutes, with a sample standard deviation of 4.2 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.)
Jun 03, 2022
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