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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 1 2 3 4 5 6 7 8 9 10 11 Percent On-Time 2006 71.78 68.69 68.23 78.98 78.59 76.67 78.71 75.78 77.67 2007 79.91 65.88 74.55 79.40 73.45 78.68 75.29 71.98 70.39 75.38 62.84 76.49 72.42 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 H₂: Median percent on-time in 2006 - Median percent on-time in 2007 < 0 O Ho: 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 O Ho: 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 O Ho: Median percent on-time in 2006 - Median percent on-time in 2007 > 0 H.₂: Median percent on-time in 2006 - Median percent on-time in 2007 = 0

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 1 2 3 4 5 6 7 8 9 10 11 Percent On-Time 2006 71.78 68.69 68.23 78.98 78.59 76.67 78.71 75.78 77.67 2007 79.91 65.88 74.55 79.40 73.45 78.68 75.29 71.98 70.39 75.38 62.84 76.49 72.42 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 H₂: Median percent on-time in 2006 - Median percent on-time in 2007 < 0 O Ho: 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 O Ho: 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 O Ho: Median percent on-time in 2006 - Median percent on-time in 2007 > 0 H.₂: Median percent on-time in 2006 - Median percent on-time in 2007 = 0

MATLAB: An Introduction with Applications
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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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 1 2 3 4 5 6 7 8 9 10 11 Percent On-Time 2006 2007 71.78 68.23 78.98 78.71 78.59 76.67 77.67 75.29 70.39 79.91 74.55 68.69 65.88 79.40 75.78 73.45 78.68 75.38 71.98 62.84 76.49 72.42 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. O Ho: 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 O Ho: Median percent on-time in 2006 - Median percent on-time in 2007 20 но H₂: Median percent on-time in 2006 - Median percent on-time in 2007 < 0 O Ho: 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 O Ho: 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 O Ho: 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
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 1 2 3 4 5 6 7 8 9 10 11 Percent On-Time 2006 2007 71.78 68.23 78.98 78.71 78.59 76.67 77.67 75.29 70.39 79.91 74.55 68.69 65.88 79.40 75.78 73.45 78.68 75.38 71.98 62.84 76.49 72.42 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. O Ho: 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 O Ho: Median percent on-time in 2006 - Median percent on-time in 2007 20 но H₂: Median percent on-time in 2006 - Median percent on-time in 2007 < 0 O Ho: 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 O Ho: 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 O Ho: 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
Find the value of the test statistic. T = Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years. O Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years. O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years.
Transcribed Image Text:Find the value of the test statistic. T = Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years. O Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years. O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the median percent of on-time arrivals for the two years.
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