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dence that a d ical evidence t istical evidenc

dence that a d ical evidence t istical evidenc

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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(c) Calculate the test statistic. (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = Using a 0.05 level of significance, what is your conclusion? Reject Ho. There is statistical evidence that a difference exists in the population mean minutes late for delayed flights of the two airlines. Do not Reject Ho. There is statistical evidence that a difference exists in the population mean minutes late for delayed flights of the two airlines. Do not reject Ho. There is no statistical evidence that a difference exists in the population mean minutes late for delayed flights of the two airlines. Reject Ho. There is no statistical evidence that a difference exists in the population mean minutes late for delayed flights of the two airlines. 0'
Transcribed Image Text:(c) Calculate the test statistic. (Round your answer to three decimal places.) What is the p-value? (Round your answer to four decimal places.) p-value = Using a 0.05 level of significance, what is your conclusion? Reject Ho. There is statistical evidence that a difference exists in the population mean minutes late for delayed flights of the two airlines. Do not Reject Ho. There is statistical evidence that a difference exists in the population mean minutes late for delayed flights of the two airlines. Do not reject Ho. There is no statistical evidence that a difference exists in the population mean minutes late for delayed flights of the two airlines. Reject Ho. There is no statistical evidence that a difference exists in the population mean minutes late for delayed flights of the two airlines. 0'
You may need to use the appropriate technology to answer this question. Researchers at two universities found that airlines are doing a better job of getting passengers to their destinations on time. Company A and Company B 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 shown below for both airlines. Company A Company B 34 59 43 30 3 45 63 43 32 67 32 42 85 30 48 104 45 29 38 84 * 63 110 50 10 26 70 74 45 33 49 52 83 78 27 70 43 34 34 64 64 27 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. Assume population variances are unknown and unequal. (Let µ1 population mean minutes late for delayed Company A flights and u, = population mean minutes late for delayed Company B flights.) %3D Ho: H1 - H2<0 Ha: H1 - 42> 0 Ho: H1 - 42 = 0 Hai Hy - H2 # 0 Ho: H1 - H2 z 0 Ha: H1 - H2< 0 Ho: H1 - H2 < 0 Hai H1- H2 = 0 Ho: H1 - H2 # 0 Ha: H1 - H2 = 0 (b) What is the sample mean number of minutes late for delayed flights for each of these two airlines? (Round your answers to two decimal places). Company A min Company B min
Transcribed Image Text:You may need to use the appropriate technology to answer this question. Researchers at two universities found that airlines are doing a better job of getting passengers to their destinations on time. Company A and Company B 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 shown below for both airlines. Company A Company B 34 59 43 30 3 45 63 43 32 67 32 42 85 30 48 104 45 29 38 84 * 63 110 50 10 26 70 74 45 33 49 52 83 78 27 70 43 34 34 64 64 27 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. Assume population variances are unknown and unequal. (Let µ1 population mean minutes late for delayed Company A flights and u, = population mean minutes late for delayed Company B flights.) %3D Ho: H1 - H2<0 Ha: H1 - 42> 0 Ho: H1 - 42 = 0 Hai Hy - H2 # 0 Ho: H1 - H2 z 0 Ha: H1 - H2< 0 Ho: H1 - H2 < 0 Hai H1- H2 = 0 Ho: H1 - H2 # 0 Ha: H1 - H2 = 0 (b) What is the sample mean number of minutes late for delayed flights for each of these two airlines? (Round your answers to two decimal places). Company A min Company B min
Expert Solution
Step 1

Let X1 be the random variable such that minutes late for delayed flights by company A

x̅1: Sample mean of

minutes late for delayed flights by company A

s1: Sample standard deviation of minutes late for delayed flights by company A

 

n1: Random sample size of minutes late for delayed flights by company A

 

Let X2 be the random variable such that minutes late for delayed flights by company B

 

x̅2: Sample mean of minutes late for delayed flights by company B

 

S2: Sample standard deviation of minutes late for delayed flights by company B

 

n2: Random sample size  minutes late for delayed flights by company B

The given data is

Company A Company B
34 45
32 104
110 74
52 43
27 63
59 45
42 45
50 34
83 43
90 29
43 33
85 34
10 32
78 38
38 49
30 64
30 67
26 84
27 63
52 64
3  
48  
70  
70  
76  

 

 

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