UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
2013
STA1000S HAND-IN TUTORIAL SOLUTIONS (WEEK 8)
Due date: Since there is a test on 18 September 2013, this tutorial is for self-assessment purposes.
1.
Let
denote the test scores, so
a)
(
b)
Let
CHAPTER 8
continued
Comparing
Two Sample
Means
Testing the difference between
two sample means
Up until now we have only considered testing whether the
population mean is a specified value.
We can also consider two independent populations and test
whether
CHAPTER 8
more about Means
Populations and Parameters
A population is the set of all items or units of interest in a
statistical problem. For example if we are interested in
determining what proportion of UCT students smoke, our
population of interest wou
CHAPTER 6
Mean and variance of random
variables
The mean of a random variable X is denoted by
or E[X] (expected value of X)
The variance of a random variable X is denoted by
or Var[X] (variance of X)
Discrete random variables
For a discrete random variabl
POISSON DISTRIBUTION
POISSON DISTRIBUTION
Simulating the Poisson Distribution
In preparation for the World Cup 2010, the Western Cape
government wants to find out about the state of repair of its
roads. A surveyor inspects 1000 km of roads and discovers
a
CHAPTER 7
Uniform distribution
The uniform distribution is used to model the situation where
all values in some interval (a ,b) are equally likely to occur.
Example:
London Underground trains arrive every 5 minutes,
without fail. If the random variable X
NORMAL
DISTRIBUTION
Normal Distribution
Arguably the most important distribution in the
study of Statistics!
Many random variables that arise in practice can be
modeled as normally distributed because they are
essentially the sum of a number of random
inc
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
2013
STA1000S HAND-IN TUTORIAL (WEEK 11)
Due date: Thursday, 10 October 2013 by 14:00
Post in the box (in the STA reception) bearing your tutors name. Be sure that your tutorial has (1) your
name,
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
2013
STA1000S HAND-IN TUTORIAL SOLUTIONS (WEEK 10)
Due date: Thursday, 3 October 2013 by 14:00
1.
D
2.
a)
or
or
Two-sided test
b)
against
One-sided test
3.
a)
against
Significance level: 5%
Reject
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
2013
STA1000S HAND-IN TUTORIAL SOLUTIONS (WEEK 11)
Due date: Thursday, 10 October 2013 by 14:00
1.
In order to estimate the average daily down time of a production process, a manufacturer
randomly
CHAPTER 9
t - distribution
In the previous chapter, we dealt with testing
2
hypotheses about when is known.
2
What happens when you dont know ?
If we replace the population variance with the sample
variance, then we no longer have a Standard Normal
distri
Department of Statistical Sciences, UCT
STA1000S
2014
Weekly Assignment No 1
Due Date: Friday 25th July 2014 by 2pm
This assignment must be submitted online before the due date. Ensure that you enter all real
numbers correct to THREE decimal places. Integ
STA1000f TEST 2 MEMO
for each correct answer
Marking scheme:
0
for no answer
for an incorrect answer
Question #
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
Solution
D
C
D
A
D
B
E
B
A
D
A
C
A
B
E
C
D
E
E
A
D
A
B
E
B
C
STA1000F
A
Department of Statistical Sciences
University of Cape Town
STA1000F
Class Test 2
29th April 2013
Total pages: 9
Total marks: 56
55 marks=100%
Time allocated: 90 minutes
ANSWER ON MULTIPLE CHOICE ANSWER SHEET
Section A: The following marking sch
Department of Statistical Science, UCT
STA1000S 2014
Weekly Assignment No 9
Due Date: Friday 26th September 2014 by 2pm
This assignment must be submitted online before the due date. Ensure that you enter all
real numbers correct to TWO decimal places (unl
STA1000S ASSIGNMENT WEEK 10:
t-distribution, Confidence intervals, one and two sample t-tests
Due by 2pm on Friday 3 October
ROUND ALL ANSWERS TO TWO DECIMAL PLACES
Answer this question using Excel and the file: age_satisfaction.xls
A research study was c
Department of Statistical Science, UCT
STA1000S 2014
Weekly Assignment No 7
Due Date: Friday 12th September 2014 by 2pm
This assignment must be submitted online before the due date. Ensure that you enter all
real numbers correct to THREE decimal places, u
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
2013
STA1000S HAND-IN TUTORIAL (WEEK 10)
Due date: Thursday, 3 October 2013 by 14:00
Post in the box (in the STA reception) bearing your tutors name. Be sure that your tutorial has (1) your
name,
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
2013
STA1000S HAND-IN TUTORIAL (WEEK 9)
Due date: Thursday, 26 September 2013 by 14:00.
MCQ section
1.
2.
C
C
Written section
3.
a) Yes, the CLT applies here.
b) No, the sample is too small for th
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
2013
STA1000S HAND-IN TUTORIAL SOLUTIONS (WEEK 3)
Due date: Thursday, 8 August 2013 by 14:00
MCQ section
1) a
2) a
3) c
4) c
5) c
6) d
7) c
Written section
8)
9)
a) (
)
(
)
b) (
)
(
)
(
)
10)
a)
b
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
2013
STA1000S HAND-IN TUTORIAL (WEEK 3)
Due date: Thursday, 8 August 2013 by 14:00
Post in the box (in the STA reception) bearing your tutors name. Be sure that your tutorial has (1) your
name, su
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
2013
STA1000S HAND-IN TUTORIAL SOLUTION (WEEK 2)
Due date: Thursday, 1 August 2013 by 14:00
1.
b
2.
For each Venn diagrams, describe the shaded portion of the diagrams using set notation:
)(
a) (
UNIVERSITY OF CAPE TOWN
DEPARTMENT OF STATISTICAL SCIENCES
2013
STA1000S HAND-IN TUTORIAL SOLUTIONS (WEEK 1)
Due date: Thursday, 25 July 2013 by 14:00
MCQ section
1.
2.
e
a
Written section
3.
a)
Internet browser
Relative frequency
Internet explorer
34.2
F
1.
a) By multiplying all the total outcomes of the relevant probabilities
10 x 4 x 10 x 3 x 1000 = 12 000 000
b) They were assuming that the probabilities given by the expert were accurate, as
well as the descriptions given by the witnesses were correct.
University of Cape Town
Department of Statistical Sciences
STA1000F Tutorial Hand-in 2
Due Date for submission: THURSDAY 6th MARCH by 4pm
Post in the boxes marked STA1000F in The Stats Dept Reception area (PD Hahn Level 5).
1. The Venn diagram below repre