Chapter 10
STK110
.
10.1 Inferences about the difference between two
population means: and known
Population 1:
Inner-City Store Customers
Population 2
Suburban Store Customers
= mean age of inner-city
store customers
= mean age of suburban
store custome
1
2
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Outeursreg Voorbehou
University of Pretoria
Faculty of Economic and Management Sciences
Department of Statistics
Statistics 110 (STK110)
Universiteit van Pretoria
Fakulteit Ekonomiese en Bestuurswetenskappe
Departement Statistiek
St
STK 110 Exam Memo of the June 2008 exam
Vraag
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Antwoord
D
C
E
B
E
B
A
E
B
E
B
B
D
D
A
A
A
A
C
D
A
D
D
B
A
Question
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Answer
E
B
B
E
A
B
A
A
B
A
E
C
D
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E
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D
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Mark
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1
TUT 3 on Chapter 3
Questions 1 to 7 are based on the following information:
The annual amounts (in $ millions) spent on research and development for a random sample of
30 electronic component manufacturers are given in the following Excel spread sheets.
1
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2
Outeursreg Voorbehou
University of Pretoria
Faculty of Economic and Management Sciences
Department of Statistics
Statistics 110 (STK110)
Universiteit van Pretoria
Fakulteit Ekonomiese en Bestuurswetenskappe
Departement Statistiek
St
Chapter 5
Discrete Probability Distributions
Random Variables
x is a random variable which is a numerical description of the outcome of an experiment.
Discrete: If the possible values change by steps or jumps.
Example: Suppose we flip a coin 5 times and c
1
Copyright Reserved
University of Pretoria
Faculty of Economic and Management Sciences
Department of Statistics
Statistics 110 (STK110)
Examination: June 2014
Time: 180 minutes
Total: 104 Marks
Note: The paper counts out of 104, but 100 is full marks.
In
Elementary Statistics
Chapter 2
A Step by Step Approach
Sixth Edition
by
Allan G. Bluman
http:/www.mhhe.com/math/stat/blumanbrief
Frequency Distributions
and
Graphs
SLIDES PREPARED
BY
LLOYD R. JAISINGH
MOREHEAD STATE UNIVERSITY
MOREHEAD KY
Updated by
Dr.
OBS 114
PREP SEMESTER TEST 1
CHAP 1,3,5 & 8
Created by: Me A. Janse van Rensburg 2017
Question 1
If you are appointed as the General Manager
Operations of a company, which two management
skills will be most relevant to this position?
Briefly explain why.
Introduction
Measures of Central Tendency and Location
Measures of Variability
Measures of Relationships Between Variables
Optional Material: Weighted Mean
Chapter 2: Using Numerical Measures to
Describe Data
Department of Mathematics
Izmir University of
Displaying Data
Displaying Data & Central Tendency
Frequency Distributions
After collecting data, the first task for a researcher is to
organize and summarize the data to get a general overview of
the results.
Remember, this is the goal of descriptive s
2016/01/31
Chapter 1: Data and Statistics
STA 110
and I thought DATA
and STATISTICS are
the same will have
to Google it!
Clicker questions: will be asked throughout the lecture.
Slides with a clicker question can be distinguished from
lecture slide by the
2016/02/05
Chapter 2: Descriptive Statistics
Statistics
Inferential Statistics
Descriptive
Statistics
Deduction
Description
Summarising data for a Categorical variable: Frequency distribution
Data from a sample of 50 soft drink purchases
Brand Purchased
C
Question 9: Answer = E
STK110 June 2010 Exam Memo
Question 1: Answer = D
Monthly income is continuous.
Question 2: Answer = D
The data set is given by:
4.9
4.9
5.1
6.8
7.1
7.5
9.6
9.7
9.9
5.2
7.7
10.2
5.3
7.8
10.8
6.2
7.9
6.2
8.4
6.3
8.7
6.5
8.9
6.6
9.5
S
Practical 8
Interval estimation of a population mean:
known
1. Construct a 95% confidence interval for the population mean of amount spent
per shopping trip in Lloyds departmental store. On the computer, open the
Lloyds file on ClickUP in the Data files f
STK110
Chapter 1: Data and Statistics (Lecture 1 of Ch1)
Important Definitions
Data & Data set
Data is the facts and figures collected, analysed and
summarized for presentation and interpretation. All the
data collected in a particular study is called a
STK110
Chapter 2: Tabular and Graphical Methods
Lecture 1 of 2
ritakeller.com
mathspig.wordpress.com
Frequency distribution
Example
Data from a sample of 50 soft drink purchases
Frequency Distribution of soft drink
purchases
Soft Drink
Coke
Classic
Diet
Chapter 8
Interval Estimation
http:/www.youtube.com/watch?v=t
FWsuO9f74o
Intervals
Point Estimation:
Sem Test 1 mark example:
= is a point estimate of
= . is a point estimate of
is a point estimator of
is a point estimator of p
Interval Estimation
CHAPTER 9
HYPOTHESIS TESTING
Hypothesis tests
9.1 Developing the null and alternative hypotheses
:
Null hypothesis
Tentative assumption about a population
parameter - Manufacturers claim
:
Alternative hypothesis
Opposite of what is stated in 0
Rese
1
STK110
Chapter 4: Probability and Permutations
2
Experiments, counting rules and assigning
probabilities
Example
Rolling a dice you can get the values: S = cfw_1, 2, 3, 4, 5, 6
S is called the sample space.
Experiment: Rolling a dice
The possible ex
STK110
Chapter 6:Continuous Distributions
6.1 Uniform Probability Distribution
Each outcome is equally likely over a
continuous range
The Uniform Probability Density Function:
=
1
0
for
elsewhere
Example
Let = the flight time of an airplane traveling
f
STK110
Chapter 3: Lecture 1 of Ch 3: Descriptive Statistics
Measures of location
Mean, Median and Mode
In what way are they calculated?
Mean:
where n = sample size
Median: Value of middle observation when data is
arranged in ascending order
Note: Whe
STK110
Chapter 7: Sampling
Population versus Sample
Why a sample?
7.2 Selecting a Sample
Simple Random Sampling
Definition:
Every element in the population has the same probability
of being selected.
Example:
1. Draw numbers from a hat.
2. Use RANDOM func
STK110
Chapter 5 Discrete Probability Distributions
Discrete Probability Distributions
Random Variables
x is a random variable which is a numerical description of
the outcome of an experiment.
This example is extracted from (Ali 2000).
Suppose that a
Practical 9
The following files: GolfTest, Orders and Womengolf are on ClickUP in the Data
files for Practicals folder.
P1: Using Excel 2010 to construct a One-Tailed Hypothesis Test
p. 411 in textbook: Redo Example for lower and upper tail p-values
File:
Practical 2
Exercise P1
1. Open your textbook on p.40 at the SoftDrink file.
2. On the computer, open the SoftDrink file on ClickUP in the Data files for
Practicals folder
3. Construct a frequency distribution of the 500 soft drink purchases.
Enter a lab
Practical 3.2
Exercise P1: Measures of association
1. Open your textbook on p.149 at the Stereo file.
2. On the computer, open the Stereo file on ClickUP in the Data files for
Practicals folder
3. Construct a scatter diagram for the Stereo data by using E
Practical 4
1. Open your textbook on p.67 at the Restaurant file.
2. On the computer, open the Restaurant file on ClickUP in the Data files for
Practicals folder.
The aim of the first part of your practical this week is to show you how Excel 2010
PivotTab
Practical 1
Exercise P1
1. Open your textbook on p.17 at the Norris file.
2. On the computer, open the Norris file on ClickUP in the Data files for Practicals
folder
3. Calculate the average lifetime of the 200 light bulbs by entering the following
formul
Practical 6
Exercise P1
Open your textbook on p.296. The Excel functions NORM.S.DIST and NORM.S.INV
for computing cumulative probabilities and z values for the standard normal
distribution are explained.
Using the NORM.S.DIST function to calculate the fol
Practical 7
Using Excel 2010 to select a simple random sample (without replacement)
Simple random sampling approach:
1. First assign a random number to each of the elements in the population.
2. Select the n elements with the smallest random numbers assig