Name: _SOLUTIONS_
Mean: 71.6%; standard deviation 15.3%. 28 students sat the exam.
Massachusetts Institute of Technology
Department of Mechanical Engineering
Department of Electrical Engineering and Computer Science
2.830J/6.780J Control of Manufacturing
Massachusetts Institute of Technology
Department of Mechanical Engineering
2.830/6.780J Control of Manufacturing Processes
Quiz 2 Solution
Problem 1 (45%)
a)
I
1
1
1
1
A
-1
-1
1
1
B
-1
1
-1
1
C
1
-1
-1
1
AB
1
-1
-1
1
AC
-1
1
-1
1
BC
-1
-1
1
1
ABC
1
1
1
1
Massachusetts Institute of Technology
Department of Mechanical Engineering
2.830J/6.780J Control of Manufacturing Processes
Quiz 2
April 26, 2007
Open Book and Notes
NOTE: Read each problem carefully; very little calculation is necessary to solve them.
Pl
Name: SOLUTIONS
Massachusetts Institute of Technology
Department of Mechanical Engineering
Department of Electrical Engineering and Computer Science
2.830J/6.780J Control of Manufacturing Processes
Spring 2008
Quiz #1
Thursday March 13, 2008
In all p
Quiz #1
Solution
March 14, 2007
Massachusetts Institute of Technology
Department of Mechanical Engineering
2.830J/6.780J Control of Manufacturing Processes
Quiz 1
March 20, 2007
Open Book and Notes
PROBLEM #1 DESIGN OF A CONTROL CHART BASED ON AND (40%)
Y
Massachusetts Institute of Technology
Department of Mechanical Engineering
2.830/6.780J Control of Manufacturing Processes
Quiz 1
March 16, 2006
Solution
Problem 1
Note that the overall problem with this approach is that it assumes that all four cavities
MIT 6.780J 2008: Problem set 8 solutions
Problem 1: example solution courtesy of M. Imani Nejad
a) first we calculate the averages and then use the formula in May and Spanos to find b and b 0 :
x=
y=
1n
y i =
n i=1
(x x )( y y) = 2397.779 = 0.96601
248
MIT 2.830/6.780 Problem Set 6 (2008) Solutions
Problem 1
See the following pages for exemplary solutions (courtesy X. Su and K. Umeda)
For the t-test part of the question, two approaches were accepted: one in which the
significance of each effect was test
MIT 6.780J, 2008
Assignment 5 solutions
Part 1 Solutions removed due to copyright restrictions.
Part 2
(a) If yield of individual amplifiers is 99.5%, the yield of a memory block with 256 amplifiers each of which must function
is (0.995)256 = 27.7%. This
6.780 Assignment 4, 2008 - solutions
Problem 8-1.
0 = 1050; = 25; = 1; K = (/2) = (1/2)25 = 12.5; H = 5 = 5(25) = 125
(a)
MTB > Stat > Control Charts > Time- Weighted Charts > CUSUM
CUSUM Cha r t of Mol e cul a r W e i ght ( Ex 8 - 1 mol e )
t ar get = 10
MIT 2.830/6.780 Problem Set 3 (2008) Solutions
Part 1
Histograms and normal probability plots for intermingled samples taken from two populations, x1 ~
N(0,1) and x2 ~ N(d,1), for values of d between 0 and 4:
Histogram for d = 0
Normal probability plot
MIT 2.830/6.780 Problem Set 2 (2008) Solutions
Problem 1
Many interesting responses were received. We can discuss on an individual basis when selecting term
projects.
Problem 2
Let x be the concentration of particles in particles/ft3:
x ~ N(15.08, 0.025)