You may need to use the appropriate technology to answer this question. Researchers at two universities found that airlines are doing a better job of getting passengers to their destinations on time. Company A and Company B 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 shown below for both airlines. Use Excel to run a two-sample t-test assuming unequal variances to answer the questions. Company A Company B 34 59 43 30 3 46 65 41 34 65 32 42 85 30 48 105 46 28 39 85 110 so 10 26 70 74 46 33 49 62 52 83 78 27 70 43 34 32 63 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 l, - population mean minutes late for delayed Compa B flights.) Hi H - H2 > 0 O Hoi H1 - H2 < O Ho: H - H3 0 (b) what is the sample mean number of minutes late for delayed flights for each of these two airlines? (Round your answers to two decimal places.) 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.)

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Researchers at two universities found that airlines are doing a better job of getting passengers to their destinations on time. Company A and Company B 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 shown below for both airlines. Use Excel to run a two-sample t-test assuming unequal variances to answer the questions.
Company A
Company B
34
59 43 30
3
46
65
41 34 65
32
42 85 30
48
105
46
28 39
85
110
50 10 26
70
74
46
33
49
62
52
83 78 27
70
43
34
32
63 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.)
H3: H1 - H2> 0
Hn: 4 - 4, - 0
0 5 2H - IH :°H
O Ho: H1 - H2 2 0
H3i H1 - H2 < 0
O Ho: H1 - H2 < 0
Hai Hy - Hz = 0
O Ho: H1 - H2 = o
H: H1- H2 = 0
(b) What is the sample mean number of minutes late for delayed flights for each of these two airlines? (Round your answers to two decimal places.)
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 =
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Researchers at two universities found that airlines are doing a better job of getting passengers to their destinations on time. Company A and Company B 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 shown below for both airlines. Use Excel to run a two-sample t-test assuming unequal variances to answer the questions. Company A Company B 34 59 43 30 3 46 65 41 34 65 32 42 85 30 48 105 46 28 39 85 110 50 10 26 70 74 46 33 49 62 52 83 78 27 70 43 34 32 63 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.) H3: H1 - H2> 0 Hn: 4 - 4, - 0 0 5 2H - IH :°H O Ho: H1 - H2 2 0 H3i H1 - H2 < 0 O Ho: H1 - H2 < 0 Hai Hy - Hz = 0 O Ho: H1 - H2 = o H: H1- H2 = 0 (b) What is the sample mean number of minutes late for delayed flights for each of these two airlines? (Round your answers to two decimal places.) 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 Reject H.. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
Do not Reject H.. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.
O 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 Reject H. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.
Transcribed Image Text:Using a 0.05 level of significance, what is your conclusion? O Reject H.. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time. Do not Reject H.. There is statistical evidence that one airline does better than the other in terms of their population mean delay time. O 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 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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