ENGR 3342 Mechanical Engineering Probability Statistics & Random Process Questions Hi,You will find 2 questions on PDF file. Thank you HOMEWORK WORKSHEET 1

ENGR 3342 Mechanical Engineering Probability Statistics & Random Process Questions Hi,You will find 2 questions on PDF file. Thank you HOMEWORK WORKSHEET 1
ENGR 3342: PROBABILITY STATISTICS AND RANDOM PROCESS
1. (Txt Bk 6.67) Cloud seeding, a process in which chemicals such as silver iodide and
frozen carbon dioxide are introduced by aircraft into clouds to promote rainfall was
widely used in the 20th century. Recent research has questioned its effectiveness
[Journal of Atmospheric Research (2010, Vol. 97 (2), pp. 513– 525)]. An experiment was
performed by randomly assigning 52 clouds to be seeded or not. The amount of rain
generated was then measured in acre-feet. Here are the data for the unseeded and seeded
clouds:
Unseeded:
81.2
26.1
1.0
4.9
147.8 17.3
95.0
41.1 28.6
21.7
163.0 372.4 244.3 47.3
11.5 68.5
87.0
26.3
345.5 321.2 1202.6
24.4
830.1 4.9
36.6
29.0
Seeded:
274.7 302.8 242.5 255.0 17.5
115.3 31.4
703.4 334.1 1697.8
118.3
198.6 129.6 274.7 119.0 1656.0 7.7 430.0 40.6 92.4 200.7 32.7 4.1 978.0 489.1
2745.6
DESCRIPTIVE STATISTICS for both set of information is as follows:
Mean
StDev
Q1
Median
Q3
Unseeded
164.6
278.4
23.7
44.2
183.3
Seeded
442
651
79
222
445
Make two side-by-side box plots, one for each group on the same plot.
2. The following height and weight information has been collected from all the students
present in class.
Student
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Height (in cms)
162
190
183
172
161
168
163
180
172
172.72
182
172
178
170
160
185
181
177
162.56
173
175
160
191
178
180
183
163.83
177.8
181
176
Weight (in lbs)
165
150
225
160
145
129
147
152
150
138
200
200
155
145
155
135
152
160
130
174
170
155
210
140
187
250
135
200
183
154
Find some FUN FACTS about your classmates.
a)
b)
c)
d)
e)
f)
Number of observation
Sample mean
Sample median
Sample quartile
Sample interquartile range (IQR)
Sample mode (is the data unimodal or multimodal)
g)
h)
i)
j)
Sample variance
Sample standard deviation
Sample range
Frequency distribution (central frequency; relative frequency; cumulative
frequency)
k) Draw the Histogram
l) Draw the Box and Whisker plot

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