ENSE 627 Quality Management in Systems
Homework Assignment 2
Chapter 2. Fundamentals of Engineering Statistics
2.4 Assignment Problems ( Page 2-32 ~2-34 )
It is suggested that you use a computer to do problem 1. Any spread sheet
program will be useful.
2.4.6. The SAT scores for the XYZ university admission are
normally
distributed with mean 1055 and standard deviation 75. What fraction of
the SAT scores lie between 1100 and 1200?
2.4.1. Using the three sets of data about the height, weight, the
month of
the birth-date of a group of specific students in a specific class, do
the following:
(1) Calculate the mean, variance, and standard deviation for each data
set.
(2) Construct three histograms for the three data sets.
(3) By examining the constructed histograms, interpret the numerical
values of the mean and standard deviation you have obtained.
2.4.2. Use the following formulas to calculate Babe Ruth's 15
yearly home
run
data:
54 59 35 41 46 25 47 60
54 46 49 46 41 34 22
2.4.3. Calculate the mean, variance, and standard deviation using
the
following formulas:
2.4.4. The outcome from throwing a single, true, six-sided die is a
random
variable. Its mean is equal to 3.50, and the standard deviation is equal
to 1.71. Assume Y=(X1-X2)/2 where X1 and X2 represent two dice. Based on
the principle of linear operator, calculate and
2.4.5. Assume that Z represents a normal random variable with mean
0 and
standard deviation 1.
(1) Determine P(Z>1.96); (2) Determine P(-2<Z<2); (3) Determine
P(0<Z<3).