DEPARTMENT OF STATISTICAL SCIENCES
STA3030F Class Test 23 March 2012
Answer all questions
Full Marks = 50 marks
Time = 1h 30m
1. The following table shows the sorted plasma beta concentration in the blood of 22 fun
runners who had collapsed from exhaustio

DEPARTMENT OF STATISTICAL SCIENCES
STA3030F Class Test 6 May 2015
Answer all questions
Time = 1h 30m
Total = 50 marks
1. The p.d.f. for a uniform distribution defined in the interval [a, b] is given by
f (x) =
1
,
ba
a<x<b
The following 13 sorted observat

UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
STA3030F Inferential Statistics
University Examination January 2013
Internal Examiner:
External Examiner:
Dr I N Durbach
Dr J Nyirenda
Prof N J le Roux
Time: 3 hours
No. of Pages: 10
Total Marks:

DEPARTMENT OF STATISTICAL SCIENCES
STA3030F Class Test 8 May 2014
Answer all questions
Time = 1h 30m
Total = 50 marks
The Pareto distribution is sometimes used in economics as a model for a density function with a slowly
decaying tail. Its p.d.f. is given

STA3030F Test 1
Note: mainly short answers are required. Total = 57 Time = 90 mins
1. When can we say we a digit is random? (1)
2. What is a random number, and how might you obtain one? (2)
3. Why would a random number be useful? (1)
4. What is a bootstra

DEPARTMENT OF STATISTICAL SCIENCES
STA3030F Class Test 22 April 2013
Answer all questions
Total = 50 marks
Time = 1h 30m
1. A nationwide advertising campaign, using mainly local radio and newspapers, has been conducted to boost
sales of our companys brand

STA3030F: Computer lab exercise
This exercise is a more realistic version of the batch selling example from Section 4.2 (page 78 80).
In that example, we made the simplifying but unrealistic assumption that batches either contained
10%, 15%, or 25% defect

DEPARTMENT OF STATISTICAL SCIENCES
STA3030F Class Test 27 March 2014
Answer all questions
Full Marks = 50 marks
Time = 1h 30mins
1. The distribution function of X is given by:
2
for 0 x < 2
cx
2
1 c(4 x) for 2 x < 4
F (x) =
1
for 4 x
(a) Find the value

DEPARTMENT OF STATISTICAL SCIENCES
STA3030F Class Test 16 March 2010
Answer all questions
Full Marks = 36 marks
Time = 1h 30m
1. A random sample of size 8 from an unknown distribution with a population mean
has yielded the following observations:
0.35
0.

DEPARTMENT OF STATISTICAL SCIENCES
STA3030F Class Test 15 April 2010
Answer all questions
Full Marks = 42 marks
Time = 1h 30m
1. Two independent sets of random samples have been drawn from two different populations as follows:
A sample of size 3, V1 , .

UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
STA3030F Inferential Statistics
Supplementary Examination January 2015
Internal Examiners:
External Examiner:
Dr J C Nyirenda
Dr I N Durbach
Dr T L Berning
Time: 3 hours
No. of Pages: 13
Total Mar

STA3030F: Computer Workshop 2
1. A study of visual and auditory reaction time is conducted for a group of college
basketball players. Visual reaction time is measured by time needed to respond to
a light signal and auditory reaction time is measured by ti

UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
STA3030F Inferential Statistics
University Examination June 2013
Internal Examiner:
External Examiner:
Dr J Nyirenda
Dr I N Durbach
Dr T Berning
Time: 3 hours
No. of Pages: 9
Total Marks: 100
ANSW

STA3030F Test 2 (2011)
Maximum Marks: 40
Time: 80 min
No. of Pages: 3
1. Researchers are interested in which of two viruses causes more harm to the tobacco
plant. The two virus preparations were rubbed onto different tobacco leaves and the
number of local

STA3030F
Introduction
Many students at UCT buy lunch at Super Sandwich, a kiosk on upper campus. This report will be
conducted in order to make inference about the average amount of money that is spend by students
on lunch at Super Sandwich.
A random samp

Introduction
A new bank manager is concerned that customers at the bank are waiting for too long in queues for
service. It is believed, with little confidence, that the expected average waiting time is around
8 minutes, and the bank manager is fairly sure

STA3030F Bootstrap exercise for project #1
A random sample of size 8 from an unknown distribution with a population mean
has yielded the following observations:
0.35 1.15 0.40 0.08
0.03 0.20 0.10 0.15
(a) Use Excel to generate 5000 bootstrap samples and u

STA3030F Project # 4
Due date: 15th May 2015
Hand-in to Department of Statistical Sciences reception before 3pm
* This project can be done individually or in groups of two *
Suppose you are a contestant in a game show. You start by receiving R2000 from th

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UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
STA3030F
Time: 90 mins
Marks: 52
ANSWER ALL QUESTIONS
_
Question 1
Let
be independent identically distributed random variables with probability density function
where
and
.
a) Write down the likel

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STA303OF Test 2 (2011)
Maximum Marks: 40 Time: 80 min No. of Pages: 3
1. Researchers are interested in which of two viruses causes more harm to the tobacco
plant. The two virus preparations were rubbed onto different tobacco leaves and the
number of loc

STA3030F: Tutorial Solutions Week 4 & 5 (Ch. 2, q. 1—5,7)
1. Let’s start by comparing variances. The sample variances are 12.092 = 146.2 and
9.082 = 82.4, giving a ratio of 1.77. The 5% critical value for the F distribution with
29 and 29 degrees of freed

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STA3030F: Tutorial Solutions Week 1 (Ch. 1, q. 13)
Note: These are (mostly) solutions to the analytical questions. The computer exercises must just be
done!
1. Computer exercise. For Dataset A, I got the following answers (yours should be different but
si

STA3030F: Tutorial Solutions Week 2 (Ch. 1, q. 4-9)
4. The (cumulative) distributions function F (x) is:
x
Z x
c
c
c
c
dx
=
F (x) =
=
2
x
(1)x
2
x
2
2
for any x > 2.
2
.
x
(b) For each u we need to solve for F (x) = u, i.e. x = 2/(1 u). The three values

STA3030F: Tutorial Solutions Week 3 (Ch. 1, q. 10-13)
Note: some of these solutions just give the final numerical answer. Intermediate steps are left to you!
10. (a) 95% bootstrap confidence interval for the median: is (3.49; 10.19).
(b) 90% confidence in

INTRODUCTION
There are two Data sets used in this report both taken from A handbook of small data sets.
Data Set One was taken from a report on the relationship between child-rearing (parenting)
practices and customs relating to illness in non-literate so