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
Assignment 9:
8-1
a) The confidence level for x 2.14 / n x 2.14 / n is determined by the value of z0 which
is 2.14. From Table III, (2.14) = P(Z < 2.14) = 0.9838 and the confidence level is 2(0.9838-0.5) = 96.76%.
b) The confidence level for x 2.49 / n x
4-1 Continuous Random Variables
Saturday, October 3, 2015
10:27 AM
Let Y be the height of a person
Let X be the volume of juice in a can
Let Z be the waiting time until the next person arrives at the server
Machine produces a particular part with a di
9-1 Introduction
Monday, November 21, 2016
10:47 AM
START
RECORDING
9-1
Introducti.
Audio recording started: 8:00 AM Tuesday, November 22, 2016
Example: Fair die
You believe that the die is fair
Roll the die 100 times, and average is 5.0
Does this sampl
Assignment 8:
7-5.
X 75.5 psi X
3.5
n
1.429
6
P ( X 75.75) P
X
/ n
75.7575.5
1.429
P ( Z 0.175) 1 P ( Z 0.175)
1 0.56945 0.43055
7-11.
n = 36
X
a b (3 1)
2
2
2
12 02 12
X
2
3
3
X 2, X
z
2/3
36
2/3
6
X
/ n
Using the central limit theorem:
P(2.1
9-1 Introduction
Monday, November 21, 2016
10:47 AM
START
RECORDING
Example: Fair die
You believe that the die is fair
Roll the die 100 times, and average is 5.0
Does this sample supports / or evidence to reject your belief (hypothesis)?
Called "null h
Random experiment: different outcomes
Sample space:
Discrete: finite or countable infinite set
of outcomes
Continuous: interval (infinite/finite) of
real numbers
On mean, known variance: Z
me process as type I,
choice of sample size:
P ( A B ) =P ( A ) P(
Random experiment: different outcomes
Sample space:
Discrete: finite or countable infinite set
of outcomes
Continuous: interval (infinite/finite) of
real numbers
P ( B| A ) P ( A ) + P ( B| A ' ) P ( A' )
P ( B ) =P ( B E1 ) + P ( B E2 ) + P ( B Ek )
( A
a)
H 0 : 20nm, H 1 : 20nm
b) This result does not provide strong evidence that the standard deviation has not been reduced. There is insufficient evidence to
reject the null hypothesis, but this is not strong support for the null hypothesis.
a) = P(
X
98
8-1 Introduction
Sunday, November 6, 2016
6:35 PM
START
RECORDING
In previous chapter we studies how a point estimate of a parameter can be estimated
from sample data
However it is important to understand how good the estimate obtained is
Suppose that
THE UNIVERSITY OF TEXAS AT AUSTIN
ME 333T Engineering Communication
FALL 2012 COURSE DESCRIPTION AND SYLLABUS
Professor Moore
[email protected]
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
17860
Homework 9
6.3
6.53:
Histogram 6.53
20
15
10
Frequency 5
0
Frequency
Bin
6.56:
Histogram 6.56
15
10
Frequency
Frequency
5
0
Bin
This histogram for water quality data is similar to a bell curve. It does
convey the same information as the stem-
ME 335 - Probability and Statistics - Fall 2014
Final Exam Solutions
Wednesday, December 10, 2014
You have 3 hours to complete this exam.
You are allowed one 8.5 by 11 inch cheat sheet for this exam. Otherwise, it is closed book and notes.
Show your wor
ME 335 - Probability and Statistics - Summer 2014
Final Exam Solutions
Monday, August 18, 2014
You have 3 hours to complete this exam.
You are allowed one 8.5 by 11 inch cheat sheet for this exam, otherwise, it is closed book and notes.
Show your work o
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
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
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
[email protected]
Office Hours
Tuesday and Thursday from 12:30 1:30 PM or by appointment. If you need to talk with me
out
1UniversityStation,C2200
ETC5.128D
512.232.8316
[email protected]
Axioms of Probability
1UniversityStation,C2200
ETC5.128D
512.232.8316
[email protected]
J. Eric Bickel, Ph.D.
Assistant Professor
Operations Research & Industrial Engineering
Pe
1UniversityStation,C2200
ETC5.128D
512.232.8316
[email protected]
Choosing the Best Candidate
1UniversityStation,C2200
ETC5.128D
512.232.8316
[email protected]
J. Eric Bickel, Ph.D.
Assistant Professor
Operations Research & Industrial Engineer
1UniversityStation,C2200
ETC5.128D
512.232.8316
[email protected]
1UniversityStation,C2200
ME 335:
ETC5.128D
Engineering (Probability and) Statistics512.232.8316
[email protected]
J. Eric Bickel, Ph.D.
Assistant Professor
Operations Research &
1UniversityStation,C2200
ETC5.128D
512.232.8316
[email protected]
1UniversityStation,C2200
Conditional Probability, Probability Trees,ETC5.128D
&
512.232.8316
Dependence
[email protected]
J. Eric Bickel, Ph.D.
Assistant Professor
Operations Re