The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of cus

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The success of an airline depends heavily on its ability to
provide a pleasant customer experience. One dimension of customer
service on which airlines compete is on-time arrival. The tables
below contains a sample of data from delayed flights showing the
number of minutes each delayed flight was late for two different
airlines, Company A and Company B.
Company A 34 59 43 30 3 32 42 85 30 48 110 50 10 26 70 52 83 78
27 70 27 90 38 52 76
Company B 46 63 41 33 65 104 44 27 39 86 74 45 33 50 64 42 35 33
65 65
(a) Formulate the hypotheses that can be used to test for a
difference between the population mean minutes late for delayed
flights by these two airlines. (Let 𝜇1 = population mean minutes
late for delayed Company A flights and 𝜇2 = population mean minutes
late for delayed Company B flights.)
H0: 𝜇1 − 𝜇2 ≤ 0 Ha: 𝜇1 − 𝜇2 > 0
H0: 𝜇1 − 𝜇2 < 0 Ha: 𝜇1 − 𝜇2 = 0
H0: 𝜇1 − 𝜇2 ≥ 0 Ha: 𝜇1 − 𝜇2 < 0
H0: 𝜇1 − 𝜇2 = 0 Ha: 𝜇1 − 𝜇2 ≠ 0
H0: 𝜇1 − 𝜇2 ≠ 0 Ha: 𝜇1 − 𝜇2 = 0
(b) What is the sample mean number of minutes late for delayed
flights for each of these two airlines?
Company A min
Company B min
c) Calculate the test statistic. (Round your answer to three
decimal places.)
What is the p-value? (Round your answer to four decimal
places.)
p-value = Using a 0.05 level of significance, what is your
conclusion?
Reject H0. There is no statistical evidence that one airline
does better than the other in terms of their population mean delay
time.
Do not Reject H0. There is statistical evidence that one airline
does better than the other in terms of their population mean delay
time.
Reject H0. There is statistical evidence that one airline does
better than the other in terms of their population mean delay
time.
Do not reject H0. There is no statistical evidence that one
airline does better than the other in terms of their population
mean delay time.