STATISTICS FOR
ENGINEERING AND CS
STA 3033
CHAPTER 1:
INTRODUCTION
Statistics in Practice
2012 Christmas gift spending. Text/Tables/Graphs
Latin Americans most positive in the world.
Male height in online dating.
Bias for Women of Science. (Read for H
STA 3033
Review Problems (chapter 5 )
The following problems are related to the concepts covered in chapters 3 and 4. Make sure
you review the class notes on these chapters before attempting the problems:
1. Suppose random variable X has the following pro
Extra examples for exam 2
Beat the Record High
Based on the record, the scores when you play a video game is normally distributed with
mean of 550 and standard deviation of 50. A friend tells you that his record high score is
530.
a. What is the probabili
Name Daniel Montserrat
STA 3033 Assignment 2
Due data: 4/4
INSTRUCTION: This Assignment is worth 20 points. You can discuss the assignment with
anyone, including your classmates, except me. However, every student must write their own
solution, so that it
1. Doctors are studying body composition. They are looking into variables such
as race, sex, and socio-economic class. Each of these variables are
a) continuous b) discrete c) Qualitative d) Quantitative
2. The number of people who drive a Toyota automobi
Random Variable
Real-valued function whose domain is a sample space. Typically denoted as uppercase
(X,Y,.) Numerical values that a random variable can assume are lower case (x,y,.).
This chapter covers Discrete Random Variables.
Example:
Electrical circu
14.
a.
Eighteen of the 40 funds in the sample are load funds. Our point estimate is
p
b.
18
.45
40
Six of the 40 funds in the sample are high risk funds. Our point estimate is
p
6
.15
40
c. The below average fund ratings are low and very low. Twelve of
Statistics for engineering and CS
STA 3033
CHAPTER 10: hypothesis Testing
Part 3
Two Sample T Test on Population
Means
Goal: Compare two population means.
Population
Population Mean
Population SD
1
1
1 (unknown)
2
2
2 (unknown)
Sample
Sample Size
1
n1
2
n
Statistics for engineering and CS
STA 3033
CHAPTER 5: Discrete Probability
Distribution
Part 3
Types of Discrete Distributions
Bernoulli
Binomial
Poisson
Hypergeometric
We will model the experiment with a Random Variable
depending on the type of expe
Chapter 14: Simple Linear Regression
Simple Linear Regression Model
Least Squares Method
Coefficient of Determination
Model Assumptions
Do Not Copy or Distribute
Simple Linear Regression Model
Simple Linear Regression Model
Possible Linear Relationships
Chapter 14 Simple Regression Analysis
6.
a.
Solved Exercises
Chapter 14 Simple Regression Analysis
Solved Exercises
b. There appears to be a negative linear relationship between x =
miles and y = sales price.
If the car has higher miles, the sales price t
SUMMARIZING CATEGORICAL DATA USING BAR CHARTS & PIE CHARTS
10. a.
Rating
Excellent
Good
Fair
Bad
Terrible
Total
Frequency
20
101
528
244
122
1015
b.
Rating
Excellent
Good
Fair
Bad
Terrible
Total
Percent
Frequency
2
10
52
24
12
100
c.
d.
24% + 12% = 36% of
ASW_Selected Ch. 8 Problems Confidence Intervals
3. A simple random sample of 60 items resulted in a sample mean of 80. The
population standard deviation is 15.
a. Compute the 95% confidence interval for the population mean.
b. Assume that the same sample
Statistics for engineering and CS
STA 3033
CHAPTER 9: Estimation
Statistical Inference
In Chapter 8, we learned the probability distribution of a
statistic with respect to random sampling given the
information about the population parameter.
However, in
CHAPTER 3 Notes and Selected Exercises (ASW)
Step I: Arrange data in Ascending Order.
15, 20, 25, 25, 27, 28, 30, 34
This uses the textbooks methodology, but I recommend using the one covered in class.
i
20
(8) 1.6
100
2nd position = 20
i
25
(8) 2
100
20
ASW Chapter 9, Selected Problems for Review
1.
The manager of the Danvers-Hilton Resort Hotel stated that the mean guest
bill for a weekend is $600 or less. A member of the hotels accounting staff
noticed that the total charges for guest bills have been i
57/4» 3933
Jada/am; 7o Kevnow pal/rm; 5r C2477; WXX 9
3.1;. x Nl/Mv'fanCéla-E/ $254.93
a - 5 9 .
2 5+L+ = £+5.
L.
L L
a »_ (5 7'5 - 1:
/L
a _ A .
6? ECX) a L; E X. =9 {Jar 5, fa x =49," = Wag
c) EC5WW:E(a)Ela)=aE(>?)~lo=zE(X)lo
=.2(~%:+S)v~lo 2&7
W54) t.
ST A 3033 Section 2a (Spring, 20) 2)
Time: ) '4 hours (closed book)
Print Your Full Name:
Print Your Panther ID Number:
EXAM II
-~-In this exam, there are 7 problems where each problem has 10 points. To get the full credit, you need to select and correctl
1/
1
Print Your Full Name:
Print Your Panther ID Number: _ _ _ _~_ . _ . _ . _._._.
Practice Quiz I
PAPERS. Answers without the related work has no credits.
3033 Section 2b (Spring, 20tJ>t'
[0/:'"
The time, X, takes to co preto/a certain type of construct
STA 3033
Intro. To Probability & Statistics For CS and Engineering
Course Syllabus
Prerequisite:
Calculus II
Terms Offered:
Fall, Spring and Summer
Text Book :
Probability and Statistics for Engineers, by Sheaffer, Mulekar and McClave, 5th Edition, 2011,
Data Collection and Univariate Distributions
Measures of Central Tendency
Mean: The arithmetic average of the numerical values. Most frequently used in measures
of center and measures of the center of gravity.
(note: The mean is more sensitive to extreme
Discrete Distributions Summary
Distribution
Descriptions
Probability
Function (
)
Parameters
Expect
ed
Value
(
Variance
(
Sample Question
)
)
Bernoulli
The outcome is
either success or
failure.
Binomial
Number of
successes among a
fixed number of
independ
Page159:#1,4
4.4)Fiveapplicants(Jim,Don,Mary,Sue,andNancy)areavailablefortwoidenticaljobs.A
supervisorselectstwoapplicantstofillthesejobs:
A. Allpossiblewaysinwhichthejobscanbefilled.
S=cfw_JD,JM,JS,JN,DM,DS,DN,MS,MN,SN
B. LetAdenotethesetofselectionscont
Sample Space and Even Relationships
Sample space: a set of all possible outcomes from a
random procedure.
Event: a subset of the sample space.
Distributive laws:
(
)
De Morgans Laws:
)
(
)
)
(
(
(
)
(
We want to know in how many ways can we arrange 4
diff
Discrete Probability and Distributions
Introduction
Random Variable: Real-valued function whose
domain is a sample space. Often denoted as an upper
case (e.g. X,Y,).
Expected Value: Expected Value is the average of a
discrete random variable X. Having pro
Statistics for engineering and CS
STA 3033
CHAPTER 8: sampling
Distributions
Revisit of Statistics
Now that Chapter 5 and 6 have established some of the
major foundations of Probability, we can revisit the
concept of Statistics, but from a probability pe