Question

You must download the file “Assn3_Qu#2_W19” to use the required data. It gives the number of city-bus users (Ridership) on a public transportation system of a large city in 3 given working days chosen at random in units of hundreds. It gives this data separately for the 4 busy bus routes and for 5 time slots. Here,

TSlot1: from start of day to 9:30 am, TSlot2: 9:30 – 12:30, TSlot3: 12:30 – 15:30,

TSlot4: 15:30 – 18:30 and Time-Slot5: 18:30 to end of day

a. Test if the mean ridership for the four bus routes are the same or different.

b. Show how the MSE can be calculated from the individual sample variances.

c. Based on the residual plots, can you comment on the aptness of this single factor model?

d. Use the Bonferroni Multiple Comparison (BMC) approach to estimate how much the mean population ridership of BRoute 3 differs from the mean population ridership of BRoute 1.

BRoute1   BRoute2   BRoute3   BRoute4
14   25   22   20
15   17   21   22
15   24   23   22
18   14   20   19
19   23   25   23
19   20   24   24
20   24   28   25
21   20   22   25
21   21   29   23
23   19   24   20
23   24   28   26
24   20   30   26
24   22   29   24
25   24   28   30
27   24   28   28

TSlot1   TSlot2   TSlot3   TSlot4   TSlot5
18   24   19   27   19
15   20   21   25   15
21   24   23   23   14
14   20   23   24   20
17   24   21   24   24
20   22   19   24   25
20   30   25   28   24
21   28   29   28   23
22   29   24   28   22
19   26   23   28   24
22   25   23   30   22
25   24   20   26   20

Answer 1