Question

Assignment 3 Qu #2 W19

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 rank (in descending order) the bus routes in terms of their mean ridership.

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

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

Given that,

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, Time-Slot 1: from start of day to 9:30 am, Time-Slot 2: 9:30 – 12:30, Time-Slot 3: 12:30 – 15:30, Time-Slot 4: 15:30 – 18:30 and Time-Slot 5: 18:30 to end of day.