You may need to use the appropriate technology to answer this 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 26 70 75 45 33 50 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 4, = population mean minutes late for delayed Airtran flights and u, = population mean minutes late for delayed Southwest flights.) Ho: H1 - H2 2 0 Ha: H1 - H2 < 0 Ho: M1 - 42 = 0 Hai H1 - H2# 0 Hoi Hy - H2#0 Hạ: H1 - H2 = 0 Ho: H1 - 42 s0 Hai H1 - H2> 0 Ho: H1 - H2 < 0 Hại H1 - H2 = 0 (b) What is the sample mean number of minutes late for delayed flights for each of these two airlines? AirTran min Southwest min

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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(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.)
p-value
%D
Using a 0.05 level of significance, what is your conclusion?
Do not Reject Ho. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.
Reject Ho. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.
Reject Ho. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
Do not reject Ho. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
O O
Transcribed Image Text:(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.) p-value %D Using a 0.05 level of significance, what is your conclusion? Do not Reject Ho. There is statistical evidence that one airline does better than the other in terms of their population mean delay time. Reject Ho. There is statistical evidence that one airline does better than the other in terms of their population mean delay time. Reject Ho. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time. Do not reject Ho. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time. O O
You may need to use the appropriate technology to answer this 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
26
70
75
45
33
50
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 H2
population mean minutes late for delayed Southwest flights.)
Ho: H1 - 422 0
Ha: H1 - H2< 0
Ho: H1 - 42 = 0
Ha: H1 - H2 # 0
Ho: H1 - 42 + 0
Hai H1 - 42 = 0
Ho: H1 - H2s0
Ha: H1 - 42 > 0
Ho: H1 - H2 < 0
Ha: H1- H2 = 0
(b) What is the sample mean number of minutes late for delayed flights for each of these two airlines?
AirTran
min
Southwest
min
Transcribed Image Text:You may need to use the appropriate technology to answer this 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 26 70 75 45 33 50 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 H2 population mean minutes late for delayed Southwest flights.) Ho: H1 - 422 0 Ha: H1 - H2< 0 Ho: H1 - 42 = 0 Ha: H1 - H2 # 0 Ho: H1 - 42 + 0 Hai H1 - 42 = 0 Ho: H1 - H2s0 Ha: H1 - 42 > 0 Ho: H1 - H2 < 0 Ha: H1- H2 = 0 (b) What is the sample mean number of minutes late for delayed flights for each of these two airlines? AirTran min Southwest min
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