Stat171 : Statistical Data Analysis - 2013
Tutorial Week 5 - Discrete Random Variables
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This tutorial exercise is comprised of four separate sections:
(i)
Questions 1, 2, 3, 4, 5,6 and 7 are to be completed prior to your tutorial. Check answers only will
STAT 171 Check answers & Solutions to Tutorial Work from Week 12 (2013)
Question 1: Final Exam Mark versus Combined Assignment Mark
Scatterplot of Exam_Mark vs Combined_Assign_Mark
(b)
Graph (scatterplot)
The relationship appears to be positive and
linear
STAT171 Check Answers and Solution to Extra Tutorial Work from Week 7 (2013)
Question 1: Normal areas
(a)
P(0.34 < Z < 1.78) 0.4625 0.1331 0.3294
(b)
P(-2.45 < Z < 1.09) 0.4929 + 0.3621 0.8550
(c)
P( | Z | > 2 ) 2*(0.5 0.4772) 0.0456
(d)
P( | Z | < zo ) =
STAT171 Check Answers and Solution to Extra Tutorial Work from Week 8 (2013)
Question 1 Weight of adult miners
Let X be the weight of adult males (miners) in kg. Given: X ~ N ( 76 , 122 )
(a)
Expected number of men in the lift is:
Lift Capacity
1200
=
Exp
Stat171 Statistical Data Analysis - 2013
Tutorial Week 13 - Sample size and power
& Categorical Data Analysis
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Sample Size and Power
Question 1 Butterfat percentages
The butterfat percentages for registered three year old Ayrshire cows selected from the
Stat171 Statistical Data Analysis - 2013
Tutorial Week 12 - Simple Linear Regression & Correlation
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Question 1
Combined assignment performance is generally a good predictor of final exam performance.
Combined assignment and final marks (expressed as perc
Stat171 : Statistical Data Analysis - 2013
Tutorial Week 9 - Statistical Inference (one-sample z-test)
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This tutorial exercise is comprised of three separate sections:
(i)
Questions 1 and 2 are to be completed prior to your tutorial. Outline solutions on
1
1. Definitions
4.8
MBB
Chapters 4 & 5
2. Discrete distributions 4.8
3. Expected value and variance
4.8
4. Manipulating random variables (Linear Transforms, summing r.v.s)
5. Bernoulli distribution
Not in text
6. Binomial distribution
5.2
7. Poisson dist
MBB
Chapter 3 (section 4) &
Chapter 12 (section 8)
Correlation coefficient: first
introduced by Galton in 1877
1. Concept of Correlation
Sir Francis Galton
(1822 1911)
Source: Wikipedia
2. Interpreting sample rs (examples)
3. Estimation: using a sample (c
1
1. Concepts
Mendenhall, Beaver & Beaver
sections (Ed.14)
4.1
2. Set Notation and Definitions
3. Probability
4.2
4.3
4. Probability Rules
4.5
5. Conditional probability and Independence
6. Permutations and Combinations
7. Probability Trees
4.6
4.4
4.6
8.
STAT171 : Statistical Data Analysis - 2016
2016
Tutorial Week 3 - Descriptive Statistics
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This tutorial exercise is comprised of four separate sections:
(i) Questions 1, 2 and 3 are to be completed prior to your tutorial. Brief check answers only will be
STAT 171 Check answers and Solutions to Tutorial Work from Week 9 (2013)
Question 1 : Paracetamol
Let X be the amount of paracetamol in a tablet (in mg). Given X ~ Normal with = 4 mg.
x = 497.25
s = 4.20227
Sample:
n = 12
(a)
We are 95% confident that the
Stat171 : Statistical Data Analysis - 2013
Tutorial Week 8 - Sampling Distributions (Updated)
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This tutorial exercise is comprised of four separate sections:
(i)
Questions 1, 2 and 3 are to be completed prior to your tutorial. Brief solutions will be mad
Stat171 : Statistical Data Analysis - 2013
Tutorial Week 4 - Probability
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This tutorial exercise is comprised of four separate sections:
(i)
Questions 1, 2 3, 4, 5 and 6 are to be completed prior to your tutorial. Brief solutions only will be made availa
STAT 171 Check answers & Solutions to Tutorial Work from Week 13 (2013)
Question 1: Butterfat percentages
(a)
minimum sample size needed is 40.
4.22 4.12
> 2.33
0.27 n
(b)
2
OR
0.27
2
n 2.33
= ( 6.291) 39.57
4.22 4.12 )
(
Sample to be taken will have n
STAT 171 Check answers and Solutions to Tutorial Work from Week 10 (2013)
Question 1: Investigating normality (normal probability plots)
(a)
Normal probability plots of given samples
Probability Plot of (ii) Bino(12,0.4)
Probability Plot of (i) Unif(10,20
Stat171 : Statistical Data Analysis - 2013
Tutorial Week 7 - Continuous random variables
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This tutorial exercise is comprised of four separate sections:
(i)
Questions 1, 2 and 3 are to be completed prior to your tutorial. Brief solutions will be made ava
Stat171 : Statistical Data Analysis - 2013
Tutorial Week 2 - Introduction to Minitab
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Tutorials in week 2 (only) are to be held in the computer lab E4B102.
Students are requested to attempt the tutorial exercise prior to the tutorial.
Attendance at your
Stat171 : Statistical Data Analysis - 2013
Tutorial Week 3 - Descriptive Statistics
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This tutorial exercise is comprised of four separate sections:
(i) Questions 1, 2 and 3 are to be completed prior to your tutorial. Brief check answers only will be made
Stat171 : Statistical Data Analysis - 2013
Tutorial Week 11 Proportions (one and two-sample)
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This tutorial exercise is comprised of four separate sections:
(i)
Questions 1, 2, 3, 4, and 5 are to be completed prior to your tutorial. Check answers only wi
Stat171 : Statistical Data Analysis - 2013
Tutorial Week 10 - Investigating normality and t-tests (one and two samples)
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This tutorial exercise is comprised of three separate sections:
(i)
Questions 1, 2, 3, 4 and 5 are to be completed prior to your tuto
STAT171
Statistical Data Analysis
(2015)
Topic 11
Sample size and Power
1
J&B
Chapter 8
Sections 2.1, 4.3, 5.3
1. What is the idea and use of power
2. The influence of sample size
3. Practical versus statistical significance
4. Solving for sample size
5.