Exam (elaborations)
STA1610 EXAM PACK 2023
- Course
- Institution
QUESTIONS AND ANSWERS
[Show more]
Seller
Follow
smillanih
Reviews received
Content preview
STA1610EXAM PACK
2023
QUESTIONS AND
ANSWERS
FOR ANY HELP,
EMAIL:
musyokah11@gmail.com
, lOMoARcPSD|24668432
Contents
1 Data and Statistics 1
1.1 Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Population and Sample . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
2 Descriptive statistics: Tabular and Graphical Presentations 23
2.1 Visualizing Numerical data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
3 Descriptive Statistics: Numerical Measures 33
3.1 The Central Tendency or Location . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
3.2 The Dispersion or Variability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
3.3 Quartile and Coefficient of Variation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
4 Introduction to Probability 61
5 Discrete Probability Distribution: Binomial and Poisson 81
5.1 General Information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
5.2 Discrete Probability Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92
5.2.1 Binomial Probability Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . 92
5.2.2 Poisson Probability Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101
iii STA1610/1
Downloaded by Jack martinez (pmachuki7686@gmail.com)
, lOMoARcPSD|24668432
6 Continuous Probability Distribution 113
6.1 Normal Probability Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113
7 Sampling Distribution of the Mean and Proportions 137
7.1 Sampling Distribution of the Mean . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138
7.2 Sampling Distribution of the Proportion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 151
8 Point Estimations and Confidence Intervals 161
8.1 Point Estimations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161
8.2 Confidence Interval . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161
8.2.1 Confidence Interval of the Mean . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162
8.2.2 Confidence Interval of the Proportion . . . . . . . . . . . . . . . . . . . . . . . . . 180
9 Hypothesis Testing of the Mean and Proportions 187
9.1 Hypothesis Testing of the Mean . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 189
9.2 Hypothesis Testing of the Proportion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201
10 Chi–squared Test 209
11 Simple linear regression 229
iv
Downloaded by Jack martinez (pmachuki7686@gmail.com)
, lOMoARcPSD|24668432
Preface
Welcome to the exciting workbook of Statistics.
I have written this workbook to make Statistics accessible to everyone, including those with a limited math-
ematics background. Statistics affects all aspects of our lives and its applications are so numerous that, in a
sense, we are limited only by our own imagination in discovering new uses for Statistics. The workbook of
statistics continues to emphasize some important concepts of Statistics.
The applied nature of the Statistics discipline is reinforced by showing and teaching students how to choose a
correct statistical procedure or formulae with a clear understanding of a such particular concept. Fulfilling this
objective requires several features built into this workbook that include a driven-scope of Statistical concepts
and a large number of activities.
In the workbook, calculators are very good at providing numerical results of statistical processes. One reason
for using calculator is for students to be able to understand the technique and concepts by doing calculations
by hand. Students have to be aware that all assignments and examinations in this module will be done by
hand with the support of formulaes and statistics tables. The approach adopted in the workbook is to divide
the solution of statistical problems into two stages and include them in every appropriate activity:
1. Identify a technique and
2. Calculate the Statistics. The calculation stage is completed in a manual way.
It is important that you do the exercises on your own before looking at my solutions. Even if you cannot
do an exercise, you should at least read through it and try to do it. Each exercise is designed to test your
understanding of the work immediately preceding it.
The scope helps students determine whether or not a statistical method or a particular formulae is appropriate.
To enrich students’ learning experience, each topic was chosen for its relatively straightforward presentations
and useful applications. Some of the other topics in expanding students knowledge for a quick overviews
include steam-and-leaf plots, statistical tables and graphs.
I hope that you enjoy studying this module as much as I have enjoyed compiling the workbook. In closing
I invite you to help me improve my presentation of this module. You can do this by bringing any errors,
obscurities, comments, suggestions or misprints to the attention of your lecturer.
Your Lecturer
Mr B J Kanyama
v STA1610/1
Downloaded by Jack martinez (pmachuki7686@gmail.com)
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller smillanih. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $3.00. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
53340 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now