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 ninutes each delayed flight was late for two different airlines, Company A and Company B. Company A Company B 34 59 43 30 3 44 63 42 34 66 32 42 85 30 48 105 44 29 37 86 110 so 10 26 70 75 45 32 49 64 52 83 78 27 70 43 34 34 65 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 "o: H1 - P2 O "o: H:- P2 H- H2 > 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 Ha. 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 no statistical evidence that one airline does better than the other in terms of their population mean delay time. O 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 Ho. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.
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 ninutes each delayed flight was late for two different airlines, Company A and Company B. Company A Company B 34 59 43 30 3 44 63 42 34 66 32 42 85 30 48 105 44 29 37 86 110 so 10 26 70 75 45 32 49 64 52 83 78 27 70 43 34 34 65 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 "o: H1 - P2 O "o: H:- P2 H- H2 > 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 Ha. 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 no statistical evidence that one airline does better than the other in terms of their population mean delay time. O 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 Ho. There is statistical evidence that one airline does better than the other in terms of their population mean delay time.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
3
44
63
42 | 34 66
32
42
85
30
48
105
44
29
37
86
110
50
10 26
70
75
45
32
64
52
83
78 27 70
43
34
34
65
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 µ, = population mean minutes late for delayed Company A flights and u, = population mean minutes late for
delayed Company B flights.)
Hoi H1- Hz#0
Ha: H1 - H2 = 0
O Ho: H1 - H2 = 0
H: H - H2 # 0
Hoi Hy- Hz SO
Hai Hy - Hq> 0
O Ho: H1 - H2 2 o
Hi Hy - Hz < O
Hai H1- H2 = 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 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 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.
O Do not 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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