(a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or...













































(a)State the null hypothesis

H0


and the alternative hypothesis

H1


.



H0:






H1:



(b)Determine the type of test statistic to use.
▼(Choose one)

(c)Find the value of the test statistic. (Round to three or more decimal places.)






(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?




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 235 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 5.1 minutes. They also select an independent random sample of 225 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, l, 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 235 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 5.1 minutes. They also select an independent random sample of 225 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, l, 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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