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Answer two questions:
Part A (50%) Answer one question
Part B (50%) Answer the only question
All working for Part A question should be shown
Answer each question in a separate booklet
STUDENT NUMBER
SEAT NUMBER
NOTE TO INVIGILATOR AND STUDENT
This question paper must be attached with a treasury tag to the back of the answer
booklets. It is the student’s responsibility to attach the question paper.
TRAN5032M
Page 2 of 13
Part A: Answer one question
1. In order to assess the level of demand for a new bus service between Keighley
and Leeds, a survey was carried out to assess the number of times in one
particular month the people surveyed travelled from Keighley to Leeds (one
direction only).
Table 1: Trip Survey Data
Number of trips per
month between
Keighley and Leeds
0-2 3-6 7-10 11-15 16-20 20-31
Frequency 15 31 13 7 45 74
(a) Produce a histogram for the trip survey data and briefly
describe the main features shown. (10%)
(b)
(c)
From the data in Table 1 estimate the mean and standard deviation
for the number of trips made between Keighley and Leeds per month.
Estimate the 90% and 95% and 99% confidence intervals for the
true mean number of trips per month, clearly stating any assumptions
which you have made.
(35%)
(d)
(e)
Briefly explain in words the concept of a confidence interval for a
mean, and in particular what it represents in the context of (c) above.
The following data was obtained from a survey of perceptions of the
quality of Public Transport provision between Keighley and Leeds.
Table 2: Public Transport perceptions data
Very Low
quality
Low
quality
Average
quality
Good
quality
Very
Good
quality
Public
Transport
– Bus
7 45 23 18 4
Public
Transport
-Rail
8 38 39 24 7
Carry out an appropriate test to establish whether there is a significant
difference in perceptions of quality in Public Transport between
Bus and Rail, stating any assumptions you have made.
(15%)
PLEASE TURN OVER
(6)
(4)
(11)
(4)
(25)
TRAN5032M
Page 3 of 13
2. The following data refers to delay times to pass through the security screening
area in Manchester airport, rounded to the nearest minute:
9, 7, 6, 2, 0, 4, 8, 2, 6, 6, 11, 12, 4, 2, 13, 4
(a) Calculate the standard deviation, range, and interquartile range for the
data. Briefly discuss the differences found in the answers. If the values
12 and 13 were removed from the data, without performing any
calculations describe how you would expect the answers to change.
(b) Find the 10th and 90th percentiles. Briefly describe a transport related
example of how each measure might be used in practice.
(c) Briefly describe the purpose of calculating a measure of Skewness. For
the security screening delay data calculate the value of the skewness
measure.
(d) Produce a rough sketch to show the difference between positive and
negative skewness. Without performing any calculations, discuss what
difference the observations 12 and 13 might have on the value of
skewness.
The following data refers to a household survey to discover the relationship
between total annual household income (￡) and the total transport costs per
month for the household (￡).
Household Annual Household
income (￡k)
Total Transport
Costs per month (￡)
1 65 360
2 67 458
3 84 526
4 22 80
5 18 43
6 43 120
7 27 92
8 55 240
9 57 244
(e) Calculate a linear regression equation for the relationship between
transport costs per month and annual household income.
(f) What would be the best estimate of the monthly transport costs for a
household income of ￡87k Briefly describe the factors to be taken into
consideration in using the regression line for providing new estimates of
Y not collected in the original data.
(10)
(3)
(2)
(3)
(25)
(7)
Please Turn Over
TRAN5032M
Page 4 of 13
Part B: Answer this question
3. a) What is a trip matrix
b) Give one use for trip matrix data
c) What is a cordoned trip matrix
d) Explain three methods for collecting trip data for a cordoned trip matrix,
including an advantage and disadvantage of each method.
e) What methods could you use to collect data to produce a full trip
matrix List two methods. Do not list a method that you have used in
Part (d)
f) Why might the methods you listed in Part (d) not be appropriate for
collecting origin and destination data for full trips
g) A government is considering banning mobile phone use whilst driving.
Driving simulator experiments or field trials could be used to provide the
government with information to make this decision. Compare and
contrast these methods, listing two advantages and two disadvantages
of each method.
h) List three measures of driving performance that could be collected in a
driving simulator experiment investigating the effect of mobile phone
use on driving performance