Statistics
Contents Question 1 3 Question 2a 5 Question 2b 6 Question 2c 7 Question 3a 8 Question 3b 8 Question 3c 10 Question 3d 11 Question 4 12 Question 5 14 References 15
Question 1
The sampling method that Mr. Kwok is using is Stratified Random Sampling Method. In this case study, Mr Kwok collected a random sample of 1000 flights and proportions of three routes in the sample. He divides them into different sub-groups such as satisfaction, refreshments and departure time and then selects proportionally to highlight specific subgroup within the population. The reasons why Mr Kwok used this sampling method are that the cost per observation in the survey may be reduced and it also enables to increase the accuracy at a given cost.
TABLE 1: Data Summaries of Three Routes
Route 1
Route 2
Route 3
Normal(88.532,5.07943)
Normal(97.1033,5.04488)
Normal(107.15,5.15367)
Summary Statistics
Mean
88.532
Std Dev
5.0794269
Std Err Mean
0.2271589
Upper 95% Mean
88.978306
Lower 95% Mean
88.085694
N
500
Sum
44266
Summary Statistics
Mean
97.103333
Std Dev
5.0448811
Std Err Mean
0.2912663
Upper 95% Mean
97.676525
Lower 95% Mean
96.530142
N
300
Sum
29131
Summary Statistics
Mean 107.15
Std Dev 5.1536687
Std Err Mean 0.3644194
Upper 95% Mean 107.86862
Lower 95% Mean 106.43138
N
200
Sum 21430
From the table above, the total number of passengers for route 1 is 44,266, route 2 is 29,131 and route 3 is 21,430 and the total numbers of passengers for 3 routes are 94,827.
Although route 1 has the highest number of passengers and flights but it has the lowest means of passengers among the 3 routes. From the sample of 1000 flights, route 1 has 500 flights which carries a sample mean of 88.532 passengers; route 2 has 300 flights which carries a sample
Question 1
The sampling method that Mr. Kwok is using is Stratified Random Sampling Method. In this case study, Mr Kwok collected a random sample of 1000 flights and proportions of three routes in the sample. He divides them into different sub-groups such as satisfaction, refreshments and departure time and then selects proportionally to highlight specific subgroup within the population. The reasons why Mr Kwok used this sampling method are that the cost per observation in the survey may be reduced and it also enables to increase the accuracy at a given cost.
TABLE 1: Data Summaries of Three Routes
Route 1
Route 2
Route 3
Normal(88.532,5.07943)
Normal(97.1033,5.04488)
Normal(107.15,5.15367)
Summary Statistics
Mean
88.532
Std Dev
5.0794269
Std Err Mean
0.2271589
Upper 95% Mean
88.978306
Lower 95% Mean
88.085694
N
500
Sum
44266
Summary Statistics
Mean
97.103333
Std Dev
5.0448811
Std Err Mean
0.2912663
Upper 95% Mean
97.676525
Lower 95% Mean
96.530142
N
300
Sum
29131
Summary Statistics
Mean 107.15
Std Dev 5.1536687
Std Err Mean 0.3644194
Upper 95% Mean 107.86862
Lower 95% Mean 106.43138
N
200
Sum 21430
From the table above, the total number of passengers for route 1 is 44,266, route 2 is 29,131 and route 3 is 21,430 and the total numbers of passengers for 3 routes are 94,827.
Although route 1 has the highest number of passengers and flights but it has the lowest means of passengers among the 3 routes. From the sample of 1000 flights, route 1 has 500 flights which carries a sample mean of 88.532 passengers; route 2 has 300 flights which carries a sample
References: https://learn.bu.edu/bbcswebdav/pid-826908-dt-content-rid-2073693_1/courses/13sprgmetcj702_ol/week03/metcj702_W03S02T08e_factors.html https://www.unt.edu/rss/class/mike/5710/Comparisons%20among%20groups.pdf https://www.bama.ua.edu/~jcsenkbeil/gy523/ANOVA%20Procedures.ppt SIM University: BUS105e/ BUZ105 Statistics Study Guide. (2014). Singapore: Educational Tecnology & Production. Lind Douglas,A., & Marchal William,G.(2008).Basic Statistics for Business & Economics. McGraw-Hill Education(Asia).