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 Company B 34 59 43 45 65 43 32 67 32 42 85 30 48 110 50 10 26 70 105 45 29 37 84 45 33 51 62 75 52 83 78 27 70 42 34 33 64 64 27 90 38 52 76 (a) Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed filights by these two airlines. (Let , - population mean minutes late for delayed Company A flights and ,- population mean minutes late for delayed Company B flights.) (b) What is the sample mean number of minutes late for delayed flights for each of these two airlines? Company A min Company 8 min (e) 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 condlusion? O Do not Reject Hg. There is statistical evidence that one airline does better than the other in terms of their population mean delay time. O Do not reject Hg. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time. O Reject Hg. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time. O Reject H. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.

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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
Company B
34| 59 43 30
45|
|65 | 43 32 67
32 | 42 85| 30| 48
105 45 29 37 84
110 50 10 26 70
75
45 33 51
62
52
83 78 27 | 70
42
34
33
64
64
27
90 38 52
76
(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 u, = population mean minutes late for delayed Company A flights and u, = population mean minutes late for delayed Company B flights.)
o Fo: 1 - H2 S O
H: Hq - Hz> 0
Ho: Hy - Hz # 0
H: Hq - Hz = 0
o Ho: 41 - H2 = 0
o Ho: H1 - H, 2 0
Ho: Hy - Hz <O
Hai Hy - Hz = 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?
O Do not Reject Hn. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.
Do not reject H,. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
O Reject H.. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
O Reject Ho. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.
Transcribed Image Text: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 Company B 34| 59 43 30 45| |65 | 43 32 67 32 | 42 85| 30| 48 105 45 29 37 84 110 50 10 26 70 75 45 33 51 62 52 83 78 27 | 70 42 34 33 64 64 27 90 38 52 76 (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 u, = population mean minutes late for delayed Company A flights and u, = population mean minutes late for delayed Company B flights.) o Fo: 1 - H2 S O H: Hq - Hz> 0 Ho: Hy - Hz # 0 H: Hq - Hz = 0 o Ho: 41 - H2 = 0 o Ho: H1 - H, 2 0 Ho: Hy - Hz <O Hai Hy - Hz = 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? O Do not Reject Hn. There is statistical evidence that one airline does better than the other in terms of their population mean delay time. Do not reject H,. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time. O Reject H.. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time. O Reject Ho. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.
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