ME 335
HO 12
ME 335
Homework 10 Solutions
8 April 2016
Section 7.2: Sampling Distributions and the Central Limit Theorem
7.2, 7.4, 7.5, 7.11, 7.14
Section 7.3: General Concepts of Point Estimation
7.22, 7.23, 7.28, 7.29, 7.34, 7.36
Section 7.4: Method of
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J. Eric Bickel, Ph.D.
Assistant Professor
Operations Research & Industrial Engineering
Petrol
THE UNIVERSITY OF TEXAS AT AUSTIN
ME 333T Engineering Communication
FALL 2012 COURSE DESCRIPTION AND SYLLABUS
Professor Moore
christym@utexas.edu
Office: ETC 5.140
Office Hours
M 1 3, W 1 - 2
Teaching Assistants
Office: ETC 4.158
Heath Cleveland
heathclev
ME 335
Engineering Statistics
Recitation #10
Chapter 9
Hypothesis Testing
ME 335 Fall 2012
Exercise 9.10
47 ball bearings randomly selected from vendors
product yield s = 0.003 (see JMP file for data). The true
standard deviation of such bearings should n
ME 335
Engineering Statistics
Recitation #9
Chapter 8
Confidence Intervals
ME 335 Fall 2012
Exercise 8.30
If 123 of 456 balloons fail when filled with water, set a
95% confidence interval on the true proportion of
balloons that do not fail.
ME 335 Fall 20
ME 335
Engineering Statistics
Recitation #8
Chapter 8
Point & Interval Estimators
ME 335 Fall 2012
Exercise 8.25
Assuming that xi are taken independently from a
normally distributed population, show that
is not an unbiased estimator of the true variance 2
ME 335
Engineering Statistics
Recitation 7
Chapter 7
Sampling Distributions
ME 335 Fall 2012
Central Limit Theorem
If X is distributed with mean and standard deviation
, then the sample mean obtained from a random
sample of size n will have a distribution
ME 335
Engineering Statistics
Recitation #6
Chapter 6
Sample Data
ME 335 Fall 2012
Exercise 6.2
For each of the following three data sets,
Construct your most descriptive frequency
table, and draw a frequency polygon of that
frequency table. Compute the s
ME 335
Engineering Statistics
Recitation #5
Chapter 5
Mean, Variance and Expected Value
ME 335 Fall 2012
Exercise 5.3
Let the probability density function of a random
variable X be defined as follows:
0 for x < 4
f(x) = kx for 4 x 8
0 for x > 8
a) What va
ME 335
Engineering Statistics
Recitation 4
Chapter 4
(continued)
Continuous Random Variables
ME 335 Fall 2012
Exercise 4.11
The Acme Air Drop Company drops supplies to arctic oil
exploration teams. Drop locations are marked by big
orange Xs on the ice. Ba
ME 335
Engineering Statistics
Recitation #3
Chapter 3
(continued)
Discrete Random Variables
ME 335 Fall 2012
Exercise 3.14
A shelf supports 20 ceramic resistors. Of the 20
resistors, three are faulty. Six resistors are sampled
from the shelf with replacem
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Assistant Professor
Operations Re
ME 335
HO02
ME 335
Homework 2
28 January 2016
Announcements
This assignment is due by 5 PM on 05 February 2016.
Readings
Sections 2.1 - 2.3 in your textbooksame as last week
Problems
Please work the problems below based on the textbook you have.
Section 2
ME 335
ME 335
Quiz 3 Solution
03 February 2016
Problem
Your three friends and you are in a room. Assume the month of birthdays
are equally likely. What is the probability that there is at least one person in
the room whose birthday is in the same month as
ME 335
HO06
ME 335
Homework 3
04 February 2016
Announcements
This assignment is due by 5 PM on February 12, 2016.
Readings
Sections 2.4, 2.5, 2.6, and 2.7 in your textbook.
Homework
Section 2.4: Conditional Probability
2.99, 2.104, 2.113, 2.115
Section 2.
ME 335
HO04
ME 335
Homework 1 Solutions
31 January 2016
Section 2.1: Sample Spaces and Events 2.1, 2.3, 2.6, 2.19, 2.41, 2.44, 2.53
2-1.
Each of three machined parts is classified as either above or below the target specification for the part. Let a and b
ME 335
HO05
ME 335
Case 1: Choosing Candidates
02 February 2016
Announcements
1. This case is due by 5 PM 19 February 2016.
2. You must work on this case in groups of 2-3 people and must form your teams within
your TA discussion sessions.
Part A: Choosing
ME 335
HO02
ME 335
Homework 1
21 January 2016
Announcements
This assignment is due by 5 PM on January 29 in the TA office (ETC 5.138).
Readings
Chapter 1 and Sections 2.1 - 2.3 in your textbook
Problems
Please work the problems below based on the textbook
ME 335
HO01
ME 335
ENGINEERING STATISTICS
Spring 2016
1. Instructor
J. Eric Bickel, PhD
Associate Professor
ETC 5.128C
232-8316
ebickel@mail.utexas.edu
Office Hours
Tuesday and Thursday from 12:30 1:30 PM or by appointment. If you need to talk with me
out
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Axioms of Probability
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Operations Research & Industrial Engineering
Pe
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Choosing the Best Candidate
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J. Eric Bickel, Ph.D.
Assistant Professor
Operations Research & Industrial Engineer
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ME 335:
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Assistant Professor
Operations Research &
ME 335
Engineering Statistics
Recitation #2
Chapter 2
(continued)
Conditional Probability
ME 335 Fall 2012
Exercise 2.27
Consider two boxes:
Box A contains 1 black and 3 white balls
Box B contains 3 black and 2 white balls
A box is selected at random and
ME335
Engineering Statistics
Recitation 1
TA Information
l
l
l
Alexander (Alex) Zolan
Email: alex.zolan@utexas.edu
Office hours: M 12-2pm
Youngbum Hur
Email: youngbum.hur@gmail.com
Office hours: W 3:30-5:30pm
Wen Bao
Email: wen.bao@utexas.edu
Office hours
7.27 (a) (b)
=97.1667 97.1667
. . . .
Df=n-1=11, 97.1667
3.106
.
97.1667
3.106
.
.
So the interval is (-4.833, 199.1664). (c)Assumption: The data from which the sample is selected has an approximate normal distribution. It is not satisfied. 8.20 : : 4