In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric. Percents of on-time arrivals for flights in 2006 and 2007 were collected for 11 randomly selected airports. Suppose data for these airports follow. Percent On-Time Airport 2006 2007 1 70.78 70.69 2 68.23 65.88 3 76.98 79.40 4 77.71 75.78 5 77.59 72.45 6 77.67 78.68 7 77.67 77.38 8 77.29 70.98 9 69.39 63.84 10 79.91 76.49 11 74.55 71.42 Use a = 0.05 to test the hypothesis that there is no difference between the median percent of on-time arrivals for the two years. State the null and alternative hypotheses. OH: Median percent on-time in 2006 - Median percent on-time in 2007 ≤ 0 H₂: Median percent on-time in 2006 - Median percent on-time in 2007 > 0 OH: Median percent on-time in 2006 - Median percent on-time in 2007 20 H: Median percent on-time in 2006 - Median percent on-time in 2007 <0 ⒸH: Median percent on-time in 2006- Median percent on-time in 2007 = 0 H₂: Median percent on-time in 2006 - Median percent on-time in 2007 #0 OH: Median percent on-time in 2006 - Median percent on-time in 2007 > 0 H₂: Median percent on-time in 2006 - Median percent on-time in 2007 = 0 OH: Median percent on-time in 2006 - Median percent on-time in 2007 * 0 H: Median percent on-time in 2006 - Median percent on-time in 2007 = 0 Find the value of the test statistic. TT = Find the p-value. (Round your answer to four decimal places.) p-value=
In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric. Percents of on-time arrivals for flights in 2006 and 2007 were collected for 11 randomly selected airports. Suppose data for these airports follow. Percent On-Time Airport 2006 2007 1 70.78 70.69 2 68.23 65.88 3 76.98 79.40 4 77.71 75.78 5 77.59 72.45 6 77.67 78.68 7 77.67 77.38 8 77.29 70.98 9 69.39 63.84 10 79.91 76.49 11 74.55 71.42 Use a = 0.05 to test the hypothesis that there is no difference between the median percent of on-time arrivals for the two years. State the null and alternative hypotheses. OH: Median percent on-time in 2006 - Median percent on-time in 2007 ≤ 0 H₂: Median percent on-time in 2006 - Median percent on-time in 2007 > 0 OH: Median percent on-time in 2006 - Median percent on-time in 2007 20 H: Median percent on-time in 2006 - Median percent on-time in 2007 <0 ⒸH: Median percent on-time in 2006- Median percent on-time in 2007 = 0 H₂: Median percent on-time in 2006 - Median percent on-time in 2007 #0 OH: Median percent on-time in 2006 - Median percent on-time in 2007 > 0 H₂: Median percent on-time in 2006 - Median percent on-time in 2007 = 0 OH: Median percent on-time in 2006 - Median percent on-time in 2007 * 0 H: Median percent on-time in 2006 - Median percent on-time in 2007 = 0 Find the value of the test statistic. TT = Find the p-value. (Round your answer to four decimal places.) p-value=
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
Question
![In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric.
Percents of on-time arrivals for flights in 2006 and 2007 were collected for 11 randomly selected airports. Suppose data for these airports follow.
| Airport | Percent On-Time |
|---------|------------------|
| | 2006 | 2007 |
| 1 | 70.70 | 70.89 |
| 2 | 68.23 | 65.88 |
| 3 | 76.98 | 79.47 |
| 4 | 77.71 | 78.25 |
| 5 | 79.52 | 72.45 |
| 6 | 77.67 | 78.68 |
| 7 | 77.67 | 77.80 |
| 8 | 77.29 | 80.83 |
| 9 | 77.26 | 79.29 |
| 10 | 69.93 | 65.38 |
| 11 | 74.55 | 71.42 |
Use α = 0.05 to test the hypothesis that there is no difference between the median percent of on-time arrivals for the two years.
State the null and alternative hypotheses.
- \( H_0 \): Median percent on-time in 2006 − Median percent on-time in 2007 = 0
- \( H_1 \): Median percent on-time in 2006 − Median percent on-time in 2007 ≠ 0
Find the value of the test statistic.
\[ T^+ = \]
Find the p-value. (Round your answer to four decimal places.)
\[ p\text{-value} = \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4959d4f7-c515-4b84-8a14-00389cef5562%2F83cd7f70-d1d3-40a1-9e17-5c1329cf9e53%2F5bay08l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric.
Percents of on-time arrivals for flights in 2006 and 2007 were collected for 11 randomly selected airports. Suppose data for these airports follow.
| Airport | Percent On-Time |
|---------|------------------|
| | 2006 | 2007 |
| 1 | 70.70 | 70.89 |
| 2 | 68.23 | 65.88 |
| 3 | 76.98 | 79.47 |
| 4 | 77.71 | 78.25 |
| 5 | 79.52 | 72.45 |
| 6 | 77.67 | 78.68 |
| 7 | 77.67 | 77.80 |
| 8 | 77.29 | 80.83 |
| 9 | 77.26 | 79.29 |
| 10 | 69.93 | 65.38 |
| 11 | 74.55 | 71.42 |
Use α = 0.05 to test the hypothesis that there is no difference between the median percent of on-time arrivals for the two years.
State the null and alternative hypotheses.
- \( H_0 \): Median percent on-time in 2006 − Median percent on-time in 2007 = 0
- \( H_1 \): Median percent on-time in 2006 − Median percent on-time in 2007 ≠ 0
Find the value of the test statistic.
\[ T^+ = \]
Find the p-value. (Round your answer to four decimal places.)
\[ p\text{-value} = \]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
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