Question

In: Statistics and Probability

Use the information below to solve.It gives the number of city-bus users (Ridership) on a public...

Use the information below to solve.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

BRoute1 BRoute2 BRoute3 BRoute4
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

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.

Solutions

Expert Solution

orchestra answered 2 years ago
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