In: Statistics and Probability
M. Melvae at the LA Transportation Association wants to test the satisfaction of riders on LA Metro’s rail lines. Riders were sampled on three different rail lines: Expo, Blue, and Gold. The research team also wanted to see if day of week (weekday vs. weekend) affected satisfaction.
Expo |
Blue |
Gold |
|
Weekday |
72 |
62 |
71 |
77 |
56 |
77 |
|
78 73 Mean = 75.0 |
66 60 Mean = 60.5 |
79 76 Mean = 75.75 |
|
Weekend |
85 |
65 |
85 |
90 |
60 |
89 |
|
82 85 Mean = 85.5 |
59 60 Mean = 61.0 |
83 88 Mean = 86.25 |
i. State the null and alternative hypotheses that address this research question.
ii. The Sum of Squares for each component have been calculated for you. Fill in the rest of the table below.
Source |
SS |
df |
MS |
Fobs |
Fcrit |
Factor A |
2056 |
||||
Factor B (Day) |
294 |
||||
AxB |
147 |
||||
Error |
190 |
||||
Total |
2688 |
iii. Based on your results, make a decision about each hypothesis.
iv. Perform the Tukey Test, if necessary. Indicate which cell means differ.
v. Write a brief conclusion of your findings (This conclusion should be phrased professionally)