STA 2014C.006
1. Find these probabilities:
a. P( Z > -0.74 )
b. P( Z < 0 )
c. P( -2.15 < Z 1.55 )
d. P( Z = 2.38)
Chapter 5 Review
0.7704
0.5
0.9237
0
2. Assume the random variable X is normally distributed, with mean =74 and =8. Find the
following probab
STA 2014C.006
Chapter 4 Review
1. Differentiate between discrete and continuous random variables.
Give 2 examples of each type.
2. The following distribution represents the probability of the number of people flying
to Indianapolis on a given month, in th
LII
10.
11.
12.
14.
15.
16.
17.
18.
4.1 EXERCISE SOLUTIONS
1. A random variable represents a numerical value associated with each outcome of a probability
experiment. Examples: Answers will vary.
2. A discrete probability distribution hsts each possible v
11.
4.2 EXERCISE SOLUTIO NS
1.
40
.u : np : (50)(0.4) : 20
03 : Mpg : (503(0.4)(0.5) : 12
a = ti.» = .t(50)(0.4)(0.6) $3.5
.u :np:(124)(0.26):32.2 10.
03 2 mpg = (124)(0.26)(0.?4) x 23.9
0':
Each trial is independent of the other trials when the outcome o
3.
11}.
ll
12
13
14
15
16
11'
13
19.
5.1 EXERCISE SDLUTIONE
1. Answers 1will vary.
Q
Neither. In a normal distribution, the mean and median are equal.
3.1
4. Points at which the tune changes from mining upward to tuning dounurard; tr o'andp-+ 0'
5.
Answer
"It is a characteristic of wisdom not to do desperate things." 1
- Henry David Thoreau
How To Do Well In This Class
(or Surviving Statistics for Dummies)
1. Pay attention during lectures.
2. Review your lecture notes after each class, it doesn't have to b
STA 2014C.006
Chapter 6 Review
1. In a random sample of 28 sports cars, the average annual fuel cost was $2218 and the
standard deviation was $523. Assume fuel costs are normally distributed. We want to
construct a 90% confidence interval for the populati
Q: Construct a Confidence Interval
mean,
average
Is sample size (n) 30?
START
proportion,
percentage
p
Whats the parameter of interest?
(6.3) Confidence Interval for p
Ye
s
No
(6.1) Confidence Interval for
Large Sample Size
If is unknown, use s
Yes
Is kn
3.4 EXERCISE SOLUTIONS
1. The number of ordered arrangements of 11 objects taken 1' at a time.
Sampfe answer: An example of a permutation is the number of seating arrangements of you and
three friends.
2. The number of ways to select I" of the H objects w
2.4 EXERCISE SOLUTIONS
I9
I
U!
The lange is the difference between the maximmrl and minimum values of a data set. The
advantage of the range is that it is easy to calculate. The disadvantage is that it uses only two
entries from the data set.
A deviation
PRINCIPLES OF STATISTICS
SPRING 2015
CHINESE PROVERB:
Tell me, Ill forget. Show me, I may remember. But involve me and Ill understand.
COURSE:
STA 2014 - Principles of Statistics
INSTRUCTOR:
Vu Nguyen (Tom)
OFFICE:
Technology Commons II, 212F
E-MAIL:
Vu.N
Cumulative Review for Exam 1
1. What is the difference between a parameter and a statistic?
2. Match the following:
a. Population variance
b. Population standard deviation
c. Population mean
d. Sample variance
e. Sample mean
f. Sample standard deviation
i
Chapter Outline
1.1 An Overview of Statistics
1.2 Data Classification
1.3 Experimental Design
1 of 61
Section 1.1
An Overview of Statistics
2 of 61
Section 1.1 Objectives
Define statistics
Distinguish between a population and a sample
Distinguish betwe
1 .2 EXERCISE SOLUTIONS
1. Nominal and ordinal
2. Ordinal. mterval= and ratio
Du
False. Data at the ordinal level can be qualitative or quantitative.
4. False. For data at the interval level= you can calculate meaningful differences between data
entries.
11.
12.
14.
16.
17.
18.
19.
1.1 EXERCISE SOLUTIONS
1. A sample is a subset of a population.
2. It is usually impractical (too expensive and-or time consuming) to obtain all the population data.
3. A parameter is a numerical description of a population cha
19.
+
HA, 0 (B, t 3: (AB = l (0= 0, (A, )= (B ), CAB= l (0 3}: where (A +3 represent-5 FOSiTiv'e
Rhfactor with blood type A and (A, ) represents negative Rhfactor with blood type A, 8.
20. {(1, l), (1, 2). (1, 3). (l, 4), (1. 5),(l,6),(2,1).(2, 2,). (
Ul
10.
11.
12.
14.
15.
1 .3 EXERCISE SOLUTIONS
1. In an experiment; a treatment is apphed to part of a population and responses are observed. In an
observational study; a researcher measures characteristics of interest of a part of a population but
does n
2.2 EXERCISE SOLUTIONS
I0
I
UI
Quantitative: stemandleaf plot, dot plot, histogram, time series chart, scatter plot.
Qualitative: pie chart, Pareto chart
Unlike the histogram, the stemandleaf plot still contains the original data values. However,
some dat
3.3 EXERCISE SOLUTIONS
I9
'1'!
P(A and B) = 0 because A and 3 cannot occur at the same time.
(a) Sample anm'er': Toss coin once: A = {head} andB = {tail}
(b) Sample anmrer': Draw one card:A = {ace} andB = {spade}
True
False. Two events being independent d
10.
11.
12.
14.
2.1 EXERCISE SOLUTIONS
1. Organizing the data into a frequency distribution may make patterns within the data more evident.
Sometimes it is easier to identify patterns of a data set by looking at a graph of the frequency
distribution.
2. I
STA 2014C - 0002
Chapter 1 Notes
Process of Statistics
identify the question
collect data from a representative sample
organize and summarize
numerically and visually
come to a conclusion through analysis
Data: literally something given
answers question a