STAT 2500
Homework 6
NAME _
1. Complete the table by finding the p-values.
Null Hypothesis Alternative Hypothesis
Test Statistic
Due July 14
P-value
= 0
0
z = 1.40
p = 0.4
p < 0.4
z = -2.20
= 10
> 10
t = 5.00 (10 d.f.)
STAT 2500
Homework 1
Due June 12
NAME _
1. The monthly electric bill (in dollars) for a small business is recorded for eight
months. The following bills are observed: 50, 55, 60, 65, 70, 80, 80, 100.
a. Compute the sample mean for the observed e
Statistics: The science of collecting, organizing, summarizing,
and analyzing information to draw conclusions or answer
questions.
-Providing a measure of confidence in any conclusions
Statistic: data that comes from a sample
Sample mean = x-bar (line ov
3.1 Measures of Central Tendency
Mean: Average
Median: Middle value when data is ordered
Mode: Most frequently occurring data
Resistant
*Mean is not resistant to extreme values (outliers)
calculator (pg129): 1. Hit STAT, 2. #4-clear list, 3.
2nd 1, 4. ENT
5.3
*Two events E & F are independent if the occurrence of
one event does not affect the probability of the other
P(E^c) = 1 P(E)
P(A or B)= P(A ) + P(B) - P(A&B) -can always use
If E & F are independent, then P(E&F) = P(E)*P(F)
5.4
P(E&F) = P(E) * P(F|E)
Chapter 22 Hypothesis
A formal procedure for evaluating claims
o H0 the null hypothesis an established position
o HA the alternative hypothesis an rival claim
One hypothesis must be true and the other must be false
Significance test a hypothesis test des
Exercise 3.50. Show that the Poisson process Nt (based on definition 3.3) is a MP
that is an adapted, integer-valued RCLL process such that N0 = 0 a.s., and for 0 s <
t, Nt Ns is independent of FsN and it is Poisson distributed with mean (t s). Find
its t
Solutions, answers, and hints for selected problems
Complete solutions of some problems are given. Answers only are given for
some other problems. For still others, only hints or partial solutions are given.
Asterisks in A Modern Approach to Probability T
Assignment 1 Solutions
4.
6.
8.
22.
!
"#
= 0.04 is classical probability
b.
cfw_sss, ssf, sfs, sff, fss, fsf, ffs, fff
c.
A1 = cfw_sss, ssf, sfs, sff
A2 = cfw_sss, ssf, fss, fsf
A3 = cfw_sss, sfs, fss, ffs
They are not mutually exclusive because all the i
Stat 3500 Section 5
Due: March 9
1/5
.
Stat 3500 Section 5 Homework 3
Due on March 9
Instruction:
There are 3 problems in this homework.
Please list your name and student number clearly.
In order to receive credit for a problem, your solution must sho
Stat 3500 Section 5
Due: Feb. 21
1/7
.
Stat 3500 Section 5 Homework 2
Due on Feb. 21
Instruction:
There are 3 problems in this homework.
Please list your name and student number clearly.
In order to receive credits for a problem, your solution must sh
Stat 3500 Section 5 Exam II
Instructor: Guanglei Yu
0/6
.
STAT 3500 Spring 2017 - Section 5
Introduction to Probability and Statistics II
Practice Exam II (100 points)
Directions:
There are 6 pages with a total of 3 questions.
You have 75 minutes.
You
Stat 3500 Section 5 Exam 1
Instructor: Guanglei Yu
0/8
.
STAT 3500 Spring 2017 - Section 5
Introduction to Probability and Statistics II
Sample Exam I (100 points)
Directions:
There are 8 pages with a total of 3 questions.
You have 75 minutes.
You may us
Stat 3500 Section 5
Due: Apr. 11
1/5
.
Stat 3500 Section 5 Homework 5
Due on Apr. 11
Instruction:
There are 4 problems in this homework.
Please list your name and student number clearly.
In order to receive credit for a problem, your solution must sho
Stat 3500 Section 5 Exam 1
Instructor: Guanglei Yu
0/6
.
STAT 3500 Spring 2017 - Section
Introduction to Probability and Statistics II
Exam I (100 points)
Directions:
There are 6 pages with a total of 3 questions.
You have 75 minutes.
You may use your
Stat 3500 Section 5 Exam II
Instructor: Guanglei Yu
0/6
.
STAT 3500 Spring 2017 - Section 5
Introduction to Probability and Statistics II
Practice Exam II (100 points)
Directions:
There are 6 pages with a total of 3 questions.
You have 75 minutes.
You
Stat 3500 Section 5 Exam 1
Instructor: Guanglei Yu
0/8
.
STAT 3500 Spring 2017 - Section 5
Introduction to Probability and Statistics II
Sample Exam I (100 points)
Directions:
There are 8 pages with a total of 3 questions.
You have 75 minutes.
You may us
Stat 3500 Section 5
Due: Feb. 7
1/5
.
Stat 3500 Section 5 Homework 1
Due on Feb. 7
Instruction:
There are 4 problems in this homework.
Please list your name and student number clearly.
In order to receive credits for a problem, your solution must show
Stat 3500 Section 5 Exam II
Instructor: Guanglei Yu
0/4
.
STAT 3500 Spring 2017 - Section 5
Introduction to Probability and Statistics II
Exam II (100 points)
Directions:
There are 4 pages with a total of 2 questions.
You have 75 minutes.
You may use
Stat 3500 Section 5
Due: Mar. 16
1/4
.
Stat 3500 Section 5 Homework 4
Due on Mar. 16
Instruction:
There are 4 problems in this homework.
Please list your name and student number clearly.
In order to receive credit for a problem, your solution must sho
SOLUTIONS TO WORKBOOK EXAMPLES FOR RECITATION #1
Chapter 1 Examples
WB1-1. Define the following terms:
(a) Population The collection of all units (items, subjects, people) that are potentially of
interest to the researcher.
(b) Sample The part of the popu
Solutions to Chapter 23 Workbook Problems
(Solutions are provided for those Chapter 23 problems that were assigned as part of the suggested homework. Other
Chapter 23 workbook problems were worked during lecture.)
WB23-4.
1. H 0 :
2.
3.
4.
5.
.05
x 0
z=
STAT 2500
Homework 6
Name_ Student ID_
Due: 11/14/2016 (Mon.)
_/100 points
There are 8 problems in this homework. Please write down your name and student ID, and show your work clearly and
in details.
1. A random sample of 45 classrooms in a certain state
STAT 2500
Homework 5
Name_ Student ID_
Due: 10/23/2016 (Fri.)
_/50 points
There are 3 problems in this homework. Please write down your name and student ID, and show your work clearly and
in details.
1. A random sample of 90 observations produced a mean 2