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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Concept explainers
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
Question
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman