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 α = 0.05. The hypothesis statement is Ho: Md = Ha: Md Degrees of freedom for this test: df = 25 Mean of the differences (rounded to two decimal places): X = 5.92 Standard error of the mean (rounded to two decimal places): = 1.08 sd √n Compute the test statistic using the rounded values above. Report the test statistic. (Round your answer to two decimal places.) хо-на $d √n The P-value for this test statistic (rounded to two decimal places) is 0.00 seconds = 5.49 Step 5: Because the P-value is less decision of reject the null hypothesis. There is 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 than the significance level, a = 0.05, this hypothesis test leads to a convincing evidence that there is a difference Lower limit (rounded to two decimal places) is Upper limit (rounded to two decimal places) is Based on this analysis, we are % confident that the actual difference in time to descend 800 ft is somewhere between 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 Trial 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Windmilling 73.4 68.9 74.1 71.7 74.2 63.5 64.4 60.9 79.5 74.5 76.5 70.3 71.3 72.7 64.2 67.5 71.2 75.6 73.1 77.4 77 77.8 77 72.3 69.2 63.9 70.3 Stopped 82.3 75.8 75.7 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
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 α = 0.05. The hypothesis statement is Ho: Md = Ha: Md Degrees of freedom for this test: df = 25 Mean of the differences (rounded to two decimal places): X = 5.92 Standard error of the mean (rounded to two decimal places): = 1.08 sd √n Compute the test statistic using the rounded values above. Report the test statistic. (Round your answer to two decimal places.) хо-на $d √n The P-value for this test statistic (rounded to two decimal places) is 0.00 seconds = 5.49 Step 5: Because the P-value is less decision of reject the null hypothesis. There is 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 than the significance level, a = 0.05, this hypothesis test leads to a convincing evidence that there is a difference Lower limit (rounded to two decimal places) is Upper limit (rounded to two decimal places) is Based on this analysis, we are % confident that the actual difference in time to descend 800 ft is somewhere between 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 Trial 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Windmilling 73.4 68.9 74.1 71.7 74.2 63.5 64.4 60.9 79.5 74.5 76.5 70.3 71.3 72.7 64.2 67.5 71.2 75.6 73.1 77.4 77 77.8 77 72.3 69.2 63.9 70.3 Stopped 82.3 75.8 75.7 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
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 2SE: What is a sample space?
Related questions
Question
Please help with step 4 and step 6
Transcribed Image Text: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
α = 0.05.
The hypothesis statement is
Ho: Md =
Ha: Md
Degrees of freedom for this test: df = 25
Mean of the differences (rounded to two decimal places): X = 5.92
Standard error of the mean (rounded to two decimal places): = 1.08
sd
√n
Compute the test statistic using the rounded values above. Report the test statistic. (Round your answer to two decimal
places.)
хо-на
$d
√n
The P-value for this test statistic (rounded to two decimal places) is 0.00
seconds
= 5.49
Step 5: Because the P-value is less
decision of reject
the null hypothesis. There is
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
than the significance level, a = 0.05, this hypothesis test leads to a
convincing evidence that there is a difference
Lower limit (rounded to two decimal places) is
Upper limit (rounded to two decimal places) is
Based on this analysis, we are
% confident that the actual difference in time to descend 800 ft is
somewhere between
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
Transcribed Image Text:Trial
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
Windmilling
73.4
68.9
74.1
71.7
74.2
63.5
64.4
60.9
79.5
74.5
76.5
70.3
71.3
72.7
64.2
67.5
71.2
75.6
73.1
77.4
77
77.8
77
72.3
69.2
63.9
70.3
Stopped
82.3
75.8
75.7
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
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