IE 3521 Quiz 6 (Nov 19, 2014)
Problem 1 True or false (60 points)
(1) In hypothesis testing the null hypothesis can never be proved to be correct.
(2) The p-value is the probability that the null hypothesis is true.
(3) If the p-value is 0.39 the null
IE 3521 Quiz 4 (Oct 29, 2014)
Problem 1 (50 points)
Suppose that P( |Z| x ) = 0.7 and Z ~ N (0, 1). What will be the value of x?
(A) z0.7
(B) z0.3
(C) z0.15
Problem 2 (50 points)
Describe one strength (something you like) about this course.
(D) z0.4
IE 3521 Quiz 5 (Nov 12, 2014)
Problem 1 (50 points, Multiple choices)
The length of a two-sided t-interval for the mean depends on
(A) the sample size
(B) the sample mean
(C) the confidence level (D) the standard error
Problem 2 (50 points)
Describe one r
IE 3521 Quiz 2 (Oct 1, 2014)
Problem 1 (25 points)
Let X be a continuous random variable taking value in [0,1]. Suppose its pdf f(x) = cx
for 0 x 1. What is the value of c?
(A) 1/2
(B) 1
(C) 2
(D) 4
Problem 2 (25 points) True/False
If F(x) is the cumulati
IE 3521 Quiz 3 (Oct 22, 2014)
Problem 1 (50 points)
On average there are 10 incoming calls per hour every morning for a company. Let X
denote the number of incoming calls from 9am-11am for that company. What will be
the appropriate distribution of X?
(A)
IE 3521 Quiz 1 (Sep 10, 2014)
Problem 1 (50 points)
Given two events A and B, P(A)=0.3 and P(B)=0.4. What wont be a possible
value for P(A B)?
(A) 0.7
(B) 0.5
(C) 0.4
(D) 0.2
Problem 2 (25 points)
What kind of exposure do you have to probability theory or
# Homework 3 Question 4
# CLT DEFINITION:
# The Central Limit Theorem (CLT) states that any sample of any random,
independent variables are normally distrubuted.
# Furthermore, all of the samples drawn from a population will follow an
approximate normal d
Homework 4 Question 6 Done in R
Thana Hussein
4475226
20 October 2016
# A)
attach(ST)
t.test(ST, conf.level = 0.01)
One Sample t-test
data: ST
t = 55.761, df = 199, p-value < 2.2e-16
alternative hypothesis: true mean is not equal to 0
1 percent confidence
IE 3521 Section 1 Fall 2016 Homework 1
Instructions:
This homework is due in class on Sep 20 no later than 10:30am.
Print your name and student ID number at the top of this page.
You must turn in a hard copy in class.
Your work must be legible and your an
IE 4521 Midterm 2- Apr 2013
Page 1 of 12
M IDTERM E XAM 2
IE 4521
Apr 8th, 2013
INSTRUCTIONS
a) Write ALL your answers in this exam paper.
b) One piece of note is allowed.
c) The exam time is 11:15am - 1:15pm.
d) There are 7 questions and 100 points in to
IE 3521: Statistics, Quality, and
Reliability
Lecture 16: Hypothesis Test
Qie He
Apr 2, 2014
IE 3521: Probability, Statistics, and Reliability
1
IE 3521: Probability, Statistics, and Reliability
2
Recap: statistic
Given a random sample X1, X2, Xn of size
Solution 10
IE 3521 Fall 2014
Solution 8.1.2
t
s
t
s
The two-sided t-interval is ( /2,n1 , x + /2,n1 ). Here = 0.01 and t0.005,40 = 2.704, therefore the
x
n
n
99% condence interval is (3.04 2.7040.124 , 3.04 + 2.7040.124 ) = (2.99, 3.09). The condence int
IE3521 - Statistics, Quality and Reliability
Midterm Exam, Wednesday, Oct 15, 2014
Name:
Student #:
Signature:
Read all of the following information before starting the exam:
WORK ALONE. This is an in-class midterm exam. You are expected to work independ
IE3521 - Statistics, Quality and Reliability
Midterm Exam 2, Monday, Mar 31, 2014
Name:
Student #:
Signature:
Read all of the following information before starting the exam:
WORK ALONE. This is an in-class Midterm exam. You are expected to work independe
IE 4521 Final exam
Prof. John Gunnar Carlsson
December 15, 2009
Before you begin: This exam has 11 numbered pages and a total of 8 problems. Make sure that all pages are
present.
To obtain credit for a problem, you must show all your work.
if you use a fo
IE 4521 Final Exam - Dec 2012
Page 1 of 12
F INAL E XAM
IE 4521
December 19, 2012
INSTRUCTIONS
a) Write ALL your answers in this exam paper.
b) Two pieces of notes are allowed.
c) The exam time is 10:30am - 12:30pm.
d) There are 7 questions and 100 points
Solution 7
IE 3521 Fall 2014
1. (10 points) Problem 3.4.2.
2.1
2.10
(a) P (X = 0) = e 0!
= 0.1225
(b) P (X 2) = P (X = 0) + P (X = 1) + P (X = 2) = 0.6496
(c) P (X 5) = 1 P (X 4) = 1 P (X = 0) P (X = 1) P (X = 3) P (X = 4) = 0.0621
P (X=1)
0.2572
(d) P (X
Solution 1
IE 3521 Fall 2014
1. Problem 1.1.6
The sample space S = cfw_(red, shiny), (red, dull), (blue, shiny), (blue, dull)
2. Problem 1.1.10
Since P (I) = 2 P (II) and P (II) = 3 P (III), so P (I) = 6 P (III).
We have P (I) + P (II) + P (III) = 6P (III
Solution 2
IE 3521 Fall 2014
1 Problem 1.7.6
(a) Let the notation (2,3,1,4) represent the result that the player who nished 1st in tournament 1 nished
2nd in tournament 2, the player who nished 2nd in tournament 1 nished 3rd in tournament 2, the player wh
Solution 4
IE 3521 Fall 2014
1. (10 points) Problem 2.2.4.
(a)
(b)P (X 2) = F (2) = 1
4
1
1
9
(c)P (1 X 3) = F (3) F (1) = 16 16 = 2
dF (x)
(d)The probability density function f (x) = dx =
below.
x
8
2. (10 points) Problem 2.3.11.
1
for 0 x 4, and f (x) =
Solution 3
IE 3521 Spring 2014
1.Problem 1.6.2
We denote event RED = cfw_the red ball is chosen, BLUE =cfw_ the blue ball is chosen, A = cfw_the ball is from
bag A, B=cfw_the ball the from bag B, C = cfw_the ball is from bag C.
(a)
3
8
5
P(RED)=(P(RED | A
Solution 11
IE 3521 Fall 2014
solution 8.2.2
x
(a) The test statistic is t = n(0 ) = 39(55325680) = 3.21. We could estimate the range of the
s
287.8
p-value by looking up in Table III the critical points related to t,38 for some . Since t0.005,40 = 2.704
IE 4521 Midterm 2- Apr 2013
Page 1 of 12
M IDTERM E XAM 2
IE 4521
Apr 8th, 2013
INSTRUCTIONS
a) Write ALL your answers in this exam paper.
b) One piece of note is allowed.
c) The exam time is 11:15am - 1:15pm.
d) There are 7 questions and 100 points in to
IE 3521: Statistics, Quality, and
Reliability
Lecture 14: Confidence Interval
Qie He
Mar 24, 2014
IE 3521: Probability, Statistics, and Reliability
1
Quiz answers and midterm II
Feed back
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