Due:
In class, Friday
February 8, 2008
Name(s)
(up to four students per homework set)
:
Section number(s)
1.
2.
3.
4.
For instructor or TA use only:
Problem
Score
Points
1
15
2
20
3
15
4
20
5
15
6
15
M E 345
Spring Semester, 2008
Homework Set # 3
Professor J. M. Cimbala
Total:
100
1
.
(15 pts)
Tim takes 16 temperature measurements of boiling water with a thermister probe, as listed below:
98.3, 99.4, 97.3, 98.2, 98.6, 97.3, 99.2, 98.3, 98.4, 97.9, 98.7, 97.4, 99.0, 99.1, 98.1, and 96.8
o
C
Tim later finds out from more accurate equipment that the “true” temperature is 98.0
o
C.
(
a
) Calculate the mean, sample standard deviation, and bias error of Tim’s thermistor probe measurements. Write how Tim
should report his measured temperature
T
in standard engineering form.
(
b
) Can any of his measurements be considered
outliers
, based on standard 95% confidence?
(
c
) After removing any outliers, how should Tim report his final measured temperature in standard form?
2
.
(20 pts)
Later on in the semester, we will study
thermocouples
. It turns out that thermocouple output is not exactly linear.
In this problem, the linearity of a type K thermocouple will be examined. Suppose you are designing a temperature
measurement system that will have a range of -50 to 200
o
C. To keep the cost down, you plan to use a type K thermocouple,
with the temperature output display determined by a simple linear (straight line) fit.
(
a