Question 8. 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 Airline United American 7 12 Sample Size Sample Mean 41.5 54.9 Sample Standard Deviation 14.1 a) Find a 99% confidence interval for the difference in boarding time between the two

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Question 8. 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.
Airline
United
American
7
12
Sample Size
Sample Mean
41.5
54.9
Sample Standard
Deviation
14.1
a) Find a 99% confidence interval for the difference in boarding time between the two
airlines.
b) Does the confidence interval produced in part a suggest at the 1% level that the
mean boarding time is different for the two airlines? How do you know?
c) Describe what committing a Type I error would be in this situation.
d) Describe what committing a Type II error would be in this situation.
Transcribed Image Text:Question 8. 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. Airline United American 7 12 Sample Size Sample Mean 41.5 54.9 Sample Standard Deviation 14.1 a) Find a 99% confidence interval for the difference in boarding time between the two airlines. b) Does the confidence interval produced in part a suggest at the 1% level that the mean boarding time is different for the two airlines? How do you know? c) Describe what committing a Type I error would be in this situation. d) Describe what committing a Type II error would be in this situation.
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