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. SinceOption 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, theairline 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 theirloading 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 isassumed 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 samplestandard 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 :0H, :0(b) Determine the type of test statistic to use.(Choose one) ▼D=0O20(c) Find the value of the test statistic. (Round to three or 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. SinceOptionhas 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, theairline 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 theirloading 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 isassumed 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 samplestandard 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,.pH, :0H, :0(b) Determine the type of test statistic to use.(Choose one)D=0OSO(c) Firtest statistic. (Round to three or more decimal places.)O

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Given information:
Option 1 sample statistic are n1= 265 x1 = 17.6 s1= 4.7Option 2 sample…