Chapter 1
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Chapter 2
Saturday, A
Sets 28 and 29: Sections 7.1, 7.2 - Inference for
two samples
We now study the two sample problem where the
data X1, . . . , Xm iid Normal(1, 12) is independent of
Y1, . . . , Yn iid Normal(2, 22). Initially, we make the
unrealistic assumption that both 1
Sets 25 and 26: Section 6.2 and 6.3, Hypothesis
testing
The logic of hypothesis testing:
1. The experimenter forms a null hypothesis H0 to
test against an alternative hypothesis H1 (theory,
guess, hope, research hypothesis).
2. The experimenter collects d
Set 3: Paired data, Sections 2.5
Scatterplots:
a graphical descriptive statistic
for paired quantitative data (x1, y1), . . . , (xn, yn)
always label axes and provide a title
focus is on the relationship between x and y
scatterplots aid in prediction
Set 12: Section 4.4, Poisson Distribution
Poisson Process: X counts the number of events in
space or time. Process properties are:
1. Number of events in any interval (of space or
time) is independent of the number of events in
any other non-overlapping i
Set 6: Section 3.4
Conditional probability (an important topic):
Problem: Suppose that I roll a die and tell you that
the result is even. What is the probability that the
outcome is a 6?
The conditional probability of A given B is the
probability that A w
Set 7: Independence, Section 3.4.1
Example: 30% of all households have an annual income above $40,000. Of these households, 15% use
credit cards for groceries. Of households with an
annual income below $40,000, 20% use credit cards
for groceries. Suppose
Set 13 and 14: Section 5.1, Continuous
Distributions
Definition: A rv is continuous if it takes on real
values in an interval.
Example: Let X be the temperature in degrees Celsius at UVic.
Definition: Let X be a continuous rv. Then the
probability density
Sets 17: Section 5.3, The Gamma and
Exponential Distribution
Definition: A rv X has a Gamma(, ) distribution,
> 0, > 0, if it has pdf
x1ex/
f (x) =
()
Z
where () =
x1ex dx
x>0
0
Notes:
closed form integral only for special cases of ,
contrast the r
R Assignment 1
Due: Tuesday, September 30
Due Date: The assignment will be accepted for marking until the beginning of class, Tuesday, September 30,
2014. Assignments which are submitted after this deadline will not be accepted for marking. You may hand i
Set 24: Section 6.1.2, Confidence Intervals for
Binomial proportion
We construct a confidence interval for the unknown
p in the model X Binomial(n, p). We require np 5
and n(1 p) 5 so that we can use the approximation
X Normal[np, np(1 p)].
Let p = X/n an
STA 120 Practice Quiz 1
Here is a set of data which you are to turn into a histogram
1
2
3
4
5
00001223456678
01124578
013469
02359
17
Begin first class at 10
Class width = 8
Use inequality notation for defining classes
1) Create a class-frequency table
2
STA 120 Practice Quiz #4
1) Find the area under the Normal curve corresponding to each statement.
a) P(z < 0.53)
b) P(z < 1.02)
c) P(z < -5.38)
d) P(z > 2.43)
e) P(z > 0.89)
f) P(z > -5.07)
g) P(1.48 < z < 1.84)
h) P(2.01 < z < 1.64)
i) P(0.27 < z < 1.58)
Note: I cropped the relevant parts (with no revisions) from Instructors Solutions Manual provided by the
publisher. I hope there will be no errors, but let me know if you find any. I have spent my extra time to
create these solutions with two fantastic go
Review Test Submission: Ch01
10/5/14, 12:31 PM
HSTA
*Chapter Quizzes
120.01/02
(F14)
Statistics
with
Applications
Review Test Submission: Ch01
Review Test Submission: Ch01
User
Kenny Y Huang
Course
STA 120.01/02 (F14) Statistics with Applications
Test
Ch0
Review Test Submission: Ch01
10/3/14, 10:07 PM
HSTA
*Chapter Quizzes
120.01/02
(F14)
Statistics
with
Applications
Review Test Submission: Ch01
Review Test Submission: Ch01
User
Kenny Y Huang
Course
STA 120.01/02 (F14) Statistics with Applications
Test
Ch0
STA 120 Dr. Hoon Kim
Name: Bronco ID (last 4 digits): _ Section No:
By signing this hono pledge, H NI] , I certify that the work on
this exam is entirely my own work.
< INSTRUCTIONS >
1. For multiple—choice questions (Questions 1—14): Choose t
N
STA 120 Dr. Hoon Kim
Name: _i _ Bronco I ( as digits):
By signing this honor pledge,
this exam is entirely my own work.
Section No:
ll , I certify that the work on
< INSTRUCTIONS >
1. For multiple—choice questions (Questions 1—17): Choos
Question 1
0.5 out of 0.5 points
In a sample of 500 items produced by a machine, the quality control staff found 35
items to be defective. The 95% confidence interval for the proportion of defective
items in all items produced by this machine is close to
Question 1
0 out of 0.5 points
A quality control engineer wants to determine what proportion of defective parts are
coming off the assembly line. What sample size does the engineer need in order to
estimate the true proportion within a margin of error (m
1) A survey of college graduates asked , how old were you when you earned your
bachelors degree? The results of 60 respondents revealed a sample mean of 24.1 years
with sample standard deviation 3.2 years.
a) Construct a 90% confidence interval for the po
STA 120 Practice Quiz #4
Mr. Windley
The Culture Fair Intelligence Test (CFIT) is a widely used IQ test used to measure
intelligence. Scores on the CFIT are approximately Normal with a mean of 100 and
standard deviation of 24.
1) Subjects who score below
Practice Quiz 5
1) For a certain type of battery, the mean lifetime of batteries under continuous use is 17 hours with
standard deviation 0.8 hours (the shape of the distribution of battery lifetimes is unknown).
a) What is the probability that a randomly
STA 120 Practice Quiz #4
Mr. Windley
The Culture Fair Intelligence Test (CFIT) is a widely used IQ test used to measure
intelligence. Scores on the CFIT are approximately Normal with a mean of 100 and
standard deviation of 24.
1) Subjects who score below
STA 120 Practice Quiz 1
Here is a set of data which you are to turn into a histogram
1
2
3
4
5
00001223456678
01124578
013469
02359
17
Begin first class at 10
Class width = 8
Use inequality notation for defining classes
1) Create a class-frequency table
2
Practice quiz 3
1) The following are the results of the AP Calculus exam in a large school district. Those taking
the exam either passed or failed.
Pas Fai Total
s
l
Male
45
30 30
Femal 24
26 70
e
Total
40
60 100
a) Find each of the following probabilitie
Here is a set of data.
42, 34, 47, 38, 43, 35, 40, 63, 45, 49, 41, 40, 58, 47, 45, 37
1) What is the 5-number summary for this data?
2) Construct a box-plot for this data.
3) What is the IQR?
4) Identify any outliers or explain why there are none.
5) Calc
Question 1
0.5 out of 0.5 points
Under descriptive statistics, we study:
Selected Answer:
the methods for organizing, displaying, and describing data
Answers:
the description of decision making tricks
the methods for organizing, displaying, and describing
Section 2.3: Set Notation
Sets are collections of mathematical concepts
Things insides sets are elements
A is a subset of B if everything in A is in B. Denoted as A B
The union of two sets, A and B, is the set containing all elements in either A or
B or b