ISE 261 HOMEWORK -1
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Binghamton University *
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Course
261
Subject
Industrial Engineering
Date
Apr 3, 2024
Type
docx
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ISE 261 HOMEWORK ONE
Due Date: 1/23/2024
1.
The following data represent the length of life in years, measured to the nearest tenth,
of 40
similar fuel pumps:
2.0
3.0
0.3
3.3
1.3
0.4
1.5
4.0
5.9
1.8
4.7
0.7
1.0
6.0
0.2
6.0
5.5
6.5
0.2
2.3
4.5
0.3
1.5
0.5
2.5
5.0
5.6
6.0
1.2
0.2
0.8
6.6
6.8
1.9
2.7
6.9
6.8
2.4 4.6
5.7
Construct a stem-and-leaf plot for the life in years of the fuel pump using the digit to the
left of the decimal point as the stem for each observation.
2.
Compute the sample mean, sample range, and sample standard deviation for the fuel pump data in problem #1
.
3.
In a certain company, every worker receives a 7%
increase in pay. How does this affect the mean salary of this company? The standard deviation of the company salaries?
4.
An article in the Journal of Transportation Engineering lists the following values of fracture stress (in mega-pascals) measured for a sample of 23
mixtures of hot-mixed asphalt (HMA). 30 75
79
80
80
105
126
138
149
179
179
191
223
232
232
236
240
242
245
252
254
275
321
Compute the mean, median, and the 5%
and 10%
trimmed means.
5.
Coal-fired power plants used in the electrical industry have gained public attention because of the environmental problems associated with solid wastes generated by large-
scale combustion. A study was conducted to measure the EC50 (Effective Concentration, in mg/L, that decreases 50%
of the light in a luminescence bioassay) at four
different locations. The experimental data found: Largest value = 60,060
Smallest value = 60,000
Sample mean = 60,030.5
s = 29.0
Find the values of the 2-middle
sample observations. (Do not use successive guessing).
6. An article in American Antiquity
discusses the strength of ancient ceramics. Several specimens of each of three types of ceramic were tested. The loads (in kg) required to crack the specimens are listed below. Construct comparative boxplots (placed side by side) for the three samples and comment on the features of the three samples.
Ceramic Type Loads (kg)
Sacaton >>
15, 30, 51, 20, 17, 19, 20, 32, 17, 15, 23, 19, 15, 18, 16, 22, 29, 15, 13, 15
Gila Plain>> 27, 18, 28, 25, 55, 21, 18, 34, 23, 30, 20, 30, 31, 25, 28, 26, 17, 19, 16, 24,
19, 9, 31, 19, 27, 20, 43, 15
Cas Grande>> 20, 16, 20, 36, 27, 35, 66, 15, 18, 24, 21, 30, 20, 24, 23, 21, 13, 21
7.
Find the Interquartile Range (
IQR
) for the two data sets shown below.
Find the first and third quartiles of the asphalt data in problem #4. A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,13,14,15,16}
B = {1, 2, 3, 4, 5, 6, 7, 8, 10, 12}
8.
A company sells computer chips in boxes of 500
chips. Listed below is the data from
80
observations corresponding to the number of defective chips found in each of a random sample of 80
boxes. Build a Histogram of the data set listed below. Comment on the shape of the Histogram.
No. of Defective Chips/box
Frequency No. of Defective Chips
Frequency
0
4
5
12
1 12 6 3
2 18 7 3
3 17 8 1
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