Question 1
A television cable company receives numerous phone calls throughout the day from
customers reporting service problems as well as from potential customers. Most of these
callers are put on hold until an operator is available to help them. The co
QUESTION 1
A particular cylinder manufacturing company produces cylinders with a nominal diameter of
30mm. The supervisor of the companys main factory has noted that the diameter of these
cylinders is a normally distributed random variable with a mean of
Question 1
A credit card companys records show that 5% of their customers fail to pay the minimum
repayment on their credit card each month. The companys records also show that among
their customers in the 20 to 30 age group, the amount owing on credit ca
QUESTION 1
A particular cylinder manufacturing company produces cylinders with a nominal diameter of 30mm.
The supervisor of the companys main factory has noted that the diameter of these cylinders is a
normally distributed random variable with a mean of
Question 1
[3+3+3 = 9 marks]
1. A credit card companys records show that 5% of their customers fail to pay the
minimum repayment on their credit card each month.
The companys records also show that among their customers in the 20 to 30 age
group, the amou
Assignment 1
Descriptive statistics
This assignment is designed to test Unit Objective 1
Due date: 10am Friday Week 5 (21 August 2015) or as specified by your lecturer
This assignment is marked out of 50 and is worth 5% of the assessment in this unit. You
Solutions to tutorial problems 17-21: Probability
17. (a)
(i)
Table of probabilities obtained by dividing through by
2000:
W
W
R
(ii)
0.21
0.14
R
Including marginal probabilities (row and column totals.)
W
R
0.21
0.14
0.57
0.08
Total
0.78
0.22
Total
0.35
ETF2121/ETF5912 Data Analysis in Business
Week 11: Non-parametric Methods 2
1 / 56
Week 11: Non-parametric Methods 2
1
2
3
4
5
6
7
8
Introduction
Tests for One Population
The Runs Test for Randomness
The Sign Test for the Median
Tests for Two Populations
ETF2121/ETF5912 Data Analysis in Business
Week 8 Exercise Solutions
Regression Analysis: Diagnostic and Other Checks
8.1
a)
We generate the regression output to show outliers as follows:
Analyze/Regression/Linear, move Stock_Price into the Dependent box a
ETF2121/ETF5912: Data Analysis in Business
Week 7 Exercise Solutions
REGRESSION ANALYSIS: LINEAR MODELS
7.1
a)
To generate the scatterplot, select Analyze/Regression/Curve Estimation. Move Insurance into the
Dependent(s) box and Income into the Independen
ETF2121/ETF5912 Data Analysis in Business
Week 10 Exercises
ANALYSIS OF CATEGORICAL DATA
10.1
A study by Hewitt Associates showed that 79% of companies offer flexibility scheduling.
Suppose a researcher believes that in accounting companies this figure is
QA3.1
QA3.2
Step 1: Dependent variable: Ownhome (own home or rent home)
Independent variable: Married (not married or married)
Gender (male or female)
QA3.3
Thefivenumbersummaryforasetof33testscoresis:4,8,12,16,
20.
aWritedowntherangeandtheinterquartilera
ETF1100 Business Statistics
SOLUTIONS
Tutorial 8
Hypothesis Testing for the Mean and Proportion
Using the Critical Value Approach
Part A
QA8.1
In hypothesis testing, the level of significance () is a very important concept.
Explain what this means.
is th
ETF1100 Business Statistics
SOLUTIONS
Tutorial 5
The normal distribution
Part A
(TO BE COMPLETED AND SUBMITTED ON MOODLE BY MIDDAY ON THE DAY BEFORE
YOUR TUTORIAL)
A5.1. Instructions for the use of the normal distribution functions NORM.S.DIST,
NORM.S.INV
Question1:
(a) Is this data cross-sectional or time series? Explain
your answer.
This data is cross-sectional data. Because cross-sectional
data is a type pf data collected by observing many
subjects, and the variation is across different members of
the p
Tutorial 07 homework part A
QA7.1
(a) P(t>2) = 0.03000
(b) P(t<-2) = 0.03000
(c) P(t>2 or t<-2) = 0.06000
(d) tcrit = -2.06120
(e) tcrit = 2.06120
(f) tcrit = 2.34565
QA7.2
Mean=AVERAGE(A2:A50)=204.21mm
We are 95% confident that the mean width of the
trou
Tutorial Question Week 6
Part A
QA6.1
(i)
(ii)
(iii) The differences between part (i) and part (ii) are part(i) is normal distribution with
population mean, but part (ii) is sample mean distribution.
(iv)
(v) If the data is normally distributed, then the
Week 8 tutorial homework part A
QA8.1
The level of significance is the probability of rejecting the null
hypothesis in a statistical test when it is true.
For example, a significance level of 0.05 indicates a 5% risk
of concluding that a difference exists
Queuing Theory Exercises1
Please note that you have to submit written answers
(in a .docx file) showing all calculations.
Deadline: Midnight, 16 April 2017
Format of the file for submission in Moodle:
Your surname_initials_(tutors name).docx
E.g. (abbrevi
Statistical Applications in Quality Control
Exercises
Please note that you have to submit answers to all
questions via Moodle in an xlsx file. Show all
calculations in spreadsheets.
Deadline: Midnight, 5 April 2017
Format of the file for submission in Moo
ETF2121/ETF5912 Data Analysis in Business
Week 10: Non-parametric Methods 1
1 / 58
Week 10: Non-parametric Methods 1
1
Introduction
2
Analysis of Categorical Data: Independent Populations
Chi-Square Test for Proportion: One Population
Binomial Test for Pr
ETF2121/ETF5912 Data Analysis in Business
4
Topic 4: Statistical Inference 1
STATISTICAL INFERENCE 1 ONE POPULATION
Statistical inference is the process by which conclusions are drawn about a population from
analyzing a representative sample drawn for the
ETF2121/ETF5912 Data Analysis in Business
Topic 09: Regression Analysis 3
9
REGRESSION ANALYSIS: NON-LINEAR MODELS
9.1
Introduction
The multiple regression model has the form
Y = 0 + 1 X 1 + 2 X 2 + . . . + k X k +
There is no requirement that the respon
ETF2121/ETF5912 Data Analysis in Business
Topic 8: Regression Analysis 2
8
REGRESSION ANALYSIS
DIAGNOSTIC AND OTHER CHECKS
8.1
Introduction
In all the regression analysis done so far, we have fitted models, assessed the goodness
of the fit and performed s