Prob. 3.1
Four independent (4) measurements are performed on a physical quantity and the average is obtained as
X1 X 2 X 3 X 4
4
where X is the Average random variable, and X i are (uniform) random va
MAE 301 Applied Experimental Statistics
Midterm #1
October 7, 2014
NAME:
One hour and fifteen minutes; closed-book, closed-notes; a cheat sheet (118 inches, both sides) allowed;
calculators allowed; n
Prob. 1.1
Let A denote the event that a structural component fails during a test and B denoted the event that the
component shows strain but does not fail. Given P(A) = 0.15 and P(B) = 0.30:
(a) What
MAE 301 Applied Experimental Statistics
Homework #5
Due: Oct. 23, Thursday in class
Prob. 5.1
In a chemical process the amount of a certain type of impurity in the output is difficult to control is th
MAE 301 Applied Experimental Statistics
Homework #4
Due: Oct. 6, Monday by 2 PM in ERC 363
Prob. 4.1
This problem introduces to Statistics Toolbox and functions in Matlab and perform statistical analy
MAE 301 Applied Engineering Statistics Summer 2017
HW 07 Due on May 25, 2017, by midnight
In a process that manufactures bearings, 95% of the bearings meet the thickness specication. A shipment
contai
MAE 301 Applied Engineering Statistics Summer 2017
HW 20 Due on June 20, 2017, by midnight
An experiment involves a storage battery used in a mechanism. Two material types can be used to make the
batt
MAE 301 Applied Engineering Statistics - Summer 2017
HW l4 Due on June 9, 2017, by midnight
1. A material is considered for making a safety system. Tensile strength (in psi) are evaluated (above tab
1. One card is drawn from a standard 52 card deck. In describing the occurrence of two
possible events, an Ace and a King, these two events are said to be:
A.
B.
C.
D.
independent
mutually exclusive
r
MAE 301 Applied Engineering Statistics Summer 2017
HW 17 Due on June 14, 2017, by midnight
A sample data between weld diameters and corresponding shear strengths is given below.
Diameter
4.2
4.4
4.6
4
MAE 301 Applied Engineering Statistics Summer 2017
HW 23 Due on June 24, 2017, by midnight
An engineer is interested in the effect of cutting speed (A), metal hardness (B), and cutting angle (C) on th
MAE 301 - Applied Engineering Statistics Summer 2017
HW 01 Due on May 17, 2017, by midnight
For the following data set, calculate (a) mean, (b) variance, (0) standard deviation, (1) range, (6) median,
MAE 301 Applied Engineering Statistics Summer 2017
HW 13 - Due on June 8, 2017, by midnight
l. The diameter of steel rods manufactured on two different extrusion machines is being investigated. Two
ra
MAE 301 Applied Engineering Statistics Summer 2017
HW 15 Due on June 10, 2017, by midnight
1. Two machine that manufacture copper rods are being compared. In a sample of 1000 rods taken from
machine A
MAE 301 Applied Engineering Statistics Summer 2017
HW 12 Due on June 7, 2017, by midnight
1. Two machines are used for lling plastic bottles with a net volume of 20.0 ounces. The ll volume can
be assu
The mean temperature inside an air-
deviation of 1
a = 0.05.
(a) Using the P-value approach, test the h
20C.
(b) Test the hypothesis using the z-test.
(c) Find the 95% CI on the mean and use it to tes
A manufacturer of electronic devices is interested in estimating the fraction of defective units produced. A
random sample of 600 devices contain 8 defectives. Test the hypothesis to determine if the
MAE 301 Midterm #1 Study Guide
Fall 2014
Midterm #1 information
October 7, Tuesday, noon-1:15 PM, PSH152
Closed-book, closed-notes; ONE (1) cheat sheets (118 inches, both sides) allowed; calculators
a
Practiceproblems:set#2
Probabilities
Problem1
The events A, B and C have
the probability
relationships as shown
a) Are the events A and B independent?
b) Is the following relationship satisfied?
P A
Prob. 2.1
Let us play a game of tossing coins. A total of three fair coins are tossed each time. You receive one point
for each head, and two points for each tail. For example, you would receive four
MAE 301 Applied Engineering Statistics Summer 2017
HW 22 Due on June 23, 2017, by midnight
An engineer is interested in the effect of cutting speed (A), metal hardness (B), and cutting angle (C) on th
MAE 301 Applied Engineering Statistics Summer 2017
HW 21 Due on June 21, 2017, by midnight
An experiment involves a storage battery used in a mechanism. Two material types can be used to make the
batt
MAE 301 Applied Engineering Statistics Summer 2017
HW 19 Due on June 17, 2017, by midnight
x
9
11
13
15
17
19
21
y
6.43
7.61
8.82
9.86
10.88
12.36
15.24
(a) For the sample data given above, find the r
MAE 301 Applied Engineering Statistics - Summer 2017
HW 03 - Due on May 19, 2017, by midnight
An electric generators lifetime (years) is a random variable with a probability density function
81 0
fo
MAE 301 Applied Engineering Statistics Summer 2017
HW 16 Due on June 13, 2017, by midnight
A sample data between weld diameters and corresponding shear strengths is given below.
Diameter
4.2
4.4
4.6
4
MAE 301 Applied Engineering Statistics - Summer 2017
HW 04 Due on May 20, 2017, by midnight
1. A machine component design requires that the tensile strength be at least 18kN. We know that 10% of
the b
MAE 301 Applied Engineering Statistics Summer 2017
HW 06 - Due on May 24, 2017, by midnight
A fair die is rolled 12 times.
(a) What is the probability that the die comes up 6 exactly twice?
(b) What i
The mean temperature inside an air-conditioned room is 20C. A random sample of 9 measurements resulted in
an average temperature of 209C and standard deviation of 1C. Using Tdistribution, test the hyp
MAE 301 - Applied Engineering Statistics Summer 2017
HW 08 - Due on May 26, 2017, by midnight
1. In a manufacturing plant, the diameter of a steel ball produced is approximately normally distributed
w
MAE 301 Applied Engineering Statistics Summer 2017
HW 02 Due on May 18, 2017, by midnight
1. For the following data set, calculate and interpret the sample correlation coefcient.
Wm
. Curt.
qrfMLQ.
MAE 301 Applied Engineering Statistics Summer 2017
HW 05 Due on May 23, 2017, by midnight
Let X denote the number of bars of service on your cellphone whenever you are at an intersection with the
foll