Hi, I am stuck on this problem and I am not sure how to approach it.

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 4.5 minutes. They also select an independent random sample of 225 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 3.8 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 signicance, is there sufficient evidence to support the claim that the mean Option 1 loading time, pl , is less than the mean Option 2 loading time, p.12, for the airline's flights from LGB to SFO? Perform a onetailed test. Then complete the parts below. Carryr your intermediate computations to at least three decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1. H O p H : 0 7 S 3 H1 : (b) Determine the type of test statistic to use. = 5 3 (c) Find the value of the test statistic. (Round to three or more decimal places.) i ( 3 X 5) (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? \"ZZZ-Yes Ci- No