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Step 6: Create a 98% confidence interval for the difference in time to descend 800 ft. The t critical value for this confidence interval based on 25 degrees of freedom and rounded to three decimal places is 2.485 Lower limit (rounded to two decimal places) is Upper limit (rounded to two decimal places) is Based on this analysis, we are 98 % confident that the actual difference in time to descend 800 ft is somewhere between 10 X and seconds. Because both endpoints of the interval are positive, this indicates that the mean time to descend 800 ft when the propeller is stopped ✔ is greater than when the propeller is windmilling ✔ . In conclusion, if a single-propeller-driven airplane experiences engine failure, there is a greater likelihood of longer glide expected if the propeller is forced to stop

Step 6: Create a 98% confidence interval for the difference in time to descend 800 ft. The t critical value for this confidence interval based on 25 degrees of freedom and rounded to three decimal places is 2.485 Lower limit (rounded to two decimal places) is Upper limit (rounded to two decimal places) is Based on this analysis, we are 98 % confident that the actual difference in time to descend 800 ft is somewhere between 10 X and seconds. Because both endpoints of the interval are positive, this indicates that the mean time to descend 800 ft when the propeller is stopped ✔ is greater than when the propeller is windmilling ✔ . In conclusion, if a single-propeller-driven airplane experiences engine failure, there is a greater likelihood of longer glide expected if the propeller is forced to stop

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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step 6

Trial Windmilling Stopped 82.3 75.8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 73.4 68.9 74.1 71.7 74.2 23 63.5 64.4 60.9 79.5 74.5 76.5 70.3 72.7 15 64.2 16 67.5 17 71.2 18 75.6 19 73.1 71.3 20 77.4 21 77 22 77.8 77 24 72.3 25 69.2 26 63.9 27 70.3 < 75.7 00:22 71.7 68.8 74.2 78 68.5 90.6 81.9 72.9 75.7 77.6 174.3 82.5 81.1 72.3 77.7 82.6 79.5 82.3 79.5 79.7 73.4 76 74.2 79 AA ✰ webassign.net
Transcribed Image Text:Trial Windmilling Stopped 82.3 75.8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 73.4 68.9 74.1 71.7 74.2 23 63.5 64.4 60.9 79.5 74.5 76.5 70.3 72.7 15 64.2 16 67.5 17 71.2 18 75.6 19 73.1 71.3 20 77.4 21 77 22 77.8 77 24 72.3 25 69.2 26 63.9 27 70.3 < 75.7 00:22 71.7 68.8 74.2 78 68.5 90.6 81.9 72.9 75.7 77.6 174.3 82.5 81.1 72.3 77.7 82.6 79.5 82.3 79.5 79.7 73.4 76 74.2 79 AA ✰ webassign.net
Step 3: The author indicated that one of the trials was unusual. In this trial, one flight experienced an updraft of wind that caused an unusually long time to descend 800 ft, making the difference for this pair quite a bit larger than the other pairs. As such, it is reasonable to remove trial number 14 from the data set because the condition of calm winds was not maintained. Delete trial number 14 from the data set. Create and upload a new boxplot of the differences. (Submit a file with a maximum size of 1 MB.) Choose File no file selected This answer has not been graded yet. Does this new boxplot indicate that it is reasonable to assume the distribution of differences for the population of differences in time to descend 800 ft at 60 knots with calm winds is normal? Yes, the plot is approximately symmetric and there are no outliers. No, the plot is approximately symmetric and there are no outliers. Yes, the plot is not approximately symmetric and there is at least one outlier. No, the plot is not approximately symmetric and there is at least one outlier. Step 4: Because all conditions are met, it is appropriate to use the paired samples t test to analyze these data. Run the paired samples t test on this data set to determine whether there is a difference in time to descend 800 ft when the propeller is windmilling versus when the propeller is stopped and report the results below. Set the significance level at a = 0.05. The hypothesis statement is но на 0 Ha: Md # = Degrees of freedom for this test: df = 25 Mean of the differences (rounded to two decimal places): xd = t = Standard error of the mean (rounded to two decimal places): 0 хо-на Compute the test statistic using the rounded values above. Report the test statistic. (Round your answer to two decimal places.) 5.92 sd = 5.49 √n The P-value for this test statistic (rounded to two decimal places) is 0.001 1.08 Step 5: Because the P-value is less leads to a decision of reject î seconds than the significance level, a = 0.05, this hypothesis test the null hypothesis. There is convincing evidence î that there is a difference in time to descend 800 ft when the propeller is windmilling versus when the propeller is stopped. Step 6: Create a 98% confidence interval for the difference in time to descend 800 ft. The t critical value for this confidence interval based on 25 degrees of freedom and rounded to three decimal places is 2.485 Lower limit (rounded to two decimal places) is Upper limit (rounded to two decimal places) is Based on this analysis, we are 98 % confident that the actual difference in time to descend 800 ft is somewhere between 10 X and seconds. Because both endpoints of the interval are positive, this indicates that the mean time to descend 800 ft when the propeller is stopped î is greater than when the propeller is windmilling ✔ . In conclusion, if a single-propeller-driven airplane experiences engine failure, there is a greater likelihood of longer glide expected if the propeller is forced to stop
Transcribed Image Text:Step 3: The author indicated that one of the trials was unusual. In this trial, one flight experienced an updraft of wind that caused an unusually long time to descend 800 ft, making the difference for this pair quite a bit larger than the other pairs. As such, it is reasonable to remove trial number 14 from the data set because the condition of calm winds was not maintained. Delete trial number 14 from the data set. Create and upload a new boxplot of the differences. (Submit a file with a maximum size of 1 MB.) Choose File no file selected This answer has not been graded yet. Does this new boxplot indicate that it is reasonable to assume the distribution of differences for the population of differences in time to descend 800 ft at 60 knots with calm winds is normal? Yes, the plot is approximately symmetric and there are no outliers. No, the plot is approximately symmetric and there are no outliers. Yes, the plot is not approximately symmetric and there is at least one outlier. No, the plot is not approximately symmetric and there is at least one outlier. Step 4: Because all conditions are met, it is appropriate to use the paired samples t test to analyze these data. Run the paired samples t test on this data set to determine whether there is a difference in time to descend 800 ft when the propeller is windmilling versus when the propeller is stopped and report the results below. Set the significance level at a = 0.05. The hypothesis statement is но на 0 Ha: Md # = Degrees of freedom for this test: df = 25 Mean of the differences (rounded to two decimal places): xd = t = Standard error of the mean (rounded to two decimal places): 0 хо-на Compute the test statistic using the rounded values above. Report the test statistic. (Round your answer to two decimal places.) 5.92 sd = 5.49 √n The P-value for this test statistic (rounded to two decimal places) is 0.001 1.08 Step 5: Because the P-value is less leads to a decision of reject î seconds than the significance level, a = 0.05, this hypothesis test the null hypothesis. There is convincing evidence î that there is a difference in time to descend 800 ft when the propeller is windmilling versus when the propeller is stopped. Step 6: Create a 98% confidence interval for the difference in time to descend 800 ft. The t critical value for this confidence interval based on 25 degrees of freedom and rounded to three decimal places is 2.485 Lower limit (rounded to two decimal places) is Upper limit (rounded to two decimal places) is Based on this analysis, we are 98 % confident that the actual difference in time to descend 800 ft is somewhere between 10 X and seconds. Because both endpoints of the interval are positive, this indicates that the mean time to descend 800 ft when the propeller is stopped î is greater than when the propeller is windmilling ✔ . In conclusion, if a single-propeller-driven airplane experiences engine failure, there is a greater likelihood of longer glide expected if the propeller is forced to stop
Expert Solution
Step 1

Given that:

Confidence level=98%

Sample mean of differences, x¯d=5.92

Standard error of mean, SE=sdn=1.08

Degrees of freedom, df=25

To find: 98% confidence interval for the difference in time to descend 800ft.

 

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