1. During September 2018, United Airlines introduced a new two-line boarding process intended to decrease gate congestion, passenger anxiety, and time to board the plane. Independent random samples of similar cross-country flights for United Airlines and American Airlines were obtained and the boarding time (in minutes) for each was recorded. Assume both populations are normally distributed and the population standard deviations are unequal.

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During September 2018, United Airlines introduced a new two-line boarding
process intended to decrease gate congestion, passenger anxiety, and time to board the plane.
Independent random samples of similar cross-country flights for United Airlines and
American Airlines were obtained and the boarding time (in minutes) for each was recorded.
Assume both populations are normally distributed and the population standard deviations are
1.
unequal.
Airline
Sample Size
Sample Mean
Sample Standard
Deviation
United
12
42.5
11.1
American
15
49.9
15.1
Is there any evidence to suggest that the new United Airlines boarding process takes less
time than the American Airlines boarding procedure at the a = 0.05 level? State the
relevant hypotheses, compute the test statistic and p-value, and state your conclusion in
context.
Describe what committing a Type I error would be in this situation.
Describe what committing a Type II error would be in this situation.
Transcribed Image Text:During September 2018, United Airlines introduced a new two-line boarding process intended to decrease gate congestion, passenger anxiety, and time to board the plane. Independent random samples of similar cross-country flights for United Airlines and American Airlines were obtained and the boarding time (in minutes) for each was recorded. Assume both populations are normally distributed and the population standard deviations are 1. unequal. Airline Sample Size Sample Mean Sample Standard Deviation United 12 42.5 11.1 American 15 49.9 15.1 Is there any evidence to suggest that the new United Airlines boarding process takes less time than the American Airlines boarding procedure at the a = 0.05 level? State the relevant hypotheses, compute the test statistic and p-value, and state your conclusion in context. Describe what committing a Type I error would be in this situation. Describe what committing a Type II error would be in this situation.
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