Researchers at Purdue University and Wichita State University found that airlines are doing a better job of getting passengers to their destinations on time.t AirTran Airways and Southwest Airlines were among the leaders in on-time arrivals with both having 88% of their flights arriving on time. But for the 12% of flights that were delayed, how many minutes were these flights late? Sample data showing the number of minutes that delayed flights were late are provided in the file named AirDelay. Data are shown for both airlines. Assume population variances are unknown and unequal. AirTran Southwest 34 59 | 43 30 3 45 64 42 33 66 32 42 | 85 30 48 105 45 28 | 38 85 110 50 10 33 50 26 70 75 45 63 52 83 78 27 70 42 35 33 64 65 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 Airtran flights and u, = population mean minutes late for delayed Southwest flights.) O Ho: H1 - Hz z o Ha: Hy - Hz < 0 O Ho: H1 - Hz = 0 Hi Hy- Mq #0 Hoi Hy - Hz < O H3i Hy - Mz = 0 O Ho: H1 - H2 so Ha: Hy - Mz> 0 O Ho: H1 - Hz # 0 H: Hy - Hz = 0 (b) What is the sample mean number of minutes late for delayed flights for each of these two airlines? AirTran min Southwest 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.) חl רו1הו

Question
Researchers at Purdue University and Wichita State University found that airlines are doing a better job of getting passengers to their destinations on time.t AirTran Airways and Southwest Airlines were among the leaders in on-time arrivals with both having 88% of
their flights arriving on time. But for the 12% of flights that were delayed, how many minutes were these flights late? Sample data showing the number of minutes that delayed flights were late are provided in the file named AirDelay. Data are shown for both airlines.
Assume population variances are unknown and unequal.
AirTran
Southwest
34
59 | 43
30
3
45
64
42
33
66
32
42 | 85
30
48
105
45
28 | 38
85
110
50 10
33 50
26
70
75
45
63
52
83
78
27
70
42
35
33
64
65
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 Airtran flights and u, = population mean minutes late for
delayed Southwest flights.)
O Ho: H1 - Hz z o
Ha: Hy - Hz < 0
O Ho: H1 - Hz = 0
Hi Hy- Mq #0
Hoi Hy - Hz < O
H3i Hy - Mz = 0
O Ho: H1 - H2 so
Ha: Hy - Mz> 0
O Ho: H1 - Hz # 0
H: Hy - Hz = 0
(b) What is the sample mean number of minutes late for delayed flights for each of these two airlines?
AirTran
min
Southwest
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.)
חl רו1הו
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Transcribed Image Text

Researchers at Purdue University and Wichita State University found that airlines are doing a better job of getting passengers to their destinations on time.t AirTran Airways and Southwest Airlines were among the leaders in on-time arrivals with both having 88% of their flights arriving on time. But for the 12% of flights that were delayed, how many minutes were these flights late? Sample data showing the number of minutes that delayed flights were late are provided in the file named AirDelay. Data are shown for both airlines. Assume population variances are unknown and unequal. AirTran Southwest 34 59 | 43 30 3 45 64 42 33 66 32 42 | 85 30 48 105 45 28 | 38 85 110 50 10 33 50 26 70 75 45 63 52 83 78 27 70 42 35 33 64 65 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 Airtran flights and u, = population mean minutes late for delayed Southwest flights.) O Ho: H1 - Hz z o Ha: Hy - Hz < 0 O Ho: H1 - Hz = 0 Hi Hy- Mq #0 Hoi Hy - Hz < O H3i Hy - Mz = 0 O Ho: H1 - H2 so Ha: Hy - Mz> 0 O Ho: H1 - Hz # 0 H: Hy - Hz = 0 (b) What is the sample mean number of minutes late for delayed flights for each of these two airlines? AirTran min Southwest 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.) חl רו1הו

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