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Quantitative Data Analysis Exercise
Name
College of Aviation, Embry-Riddle Aeronautical University
ASCI 693: Current Research Problems in Aviation/Aerospace
Dr. Name
Apr 16, 2023
Quantitative Data Analysis Exercise
1) For the following data ranging from 0-20, construct a histogram:
1
2
2
2
3
3
4
5
5
5
6
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6
6
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7
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20
Hint: Instructions for constructing a histogram in StatCrunch are in Quantitative Primer 1.
2) For the following two sample
data sets, calculate the mean, variance, and standard deviation:
SAMPLE 1
SAMPLE 2
158
181
191
186
132
178
184
172
166
188
142
165
185
146
196
186
174
174
188
190
185
144
174
183
163
173
152
169
141
170
Hint: Instructions for calculating mean, variance, and standard deviation in StatCrunch are in the Quantitative Video “StatCrunch: Getting Started”. Summary statistics:
Column
Mean
Variance
Std. dev.
Sample 1168.73333406.9238120.172353
Sample 2173.66667192.5238113.875295
3) If the stated research (alternate) hypothesis is that there is a difference between the data sets from Sample 1 and Sample 2 in Question 2, the corresponding null hypothesis is that there is no difference between the data sets from Sample 1 and Sample 2
. Using StatCrunch: Compare the data sets from Sample 1 and Sample 2 using a non-directional (two-tailed) t
test for independent means. Hint: Instructions for Hypothesis Testing Basics are in Quantitative Primer 4. Instructions for conducting a t test using StatCrunch can be found in Quantitative Primer 5 and the Quantitative Video “Conducting Hypothesis Testing for the Difference Between Two Means with Raw Data”.
Two sample T hypothesis test:
μ
1
: Mean of Sample 1
μ
2
: Mean of Sample 2
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|Error|
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-1
1
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10
-2
2
10
8
2
2
6
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0
0
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1
1
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13
4
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14
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9
15
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6
5
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17
—4
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—3
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Forecast
Error
Abs Error
1
35
40
-5
5
2
38
37
1
1
3
45
41
4
4
4
39
43
-4
4
5
44
42
2
2
6
49
45
4
4
7
46
48
-2
2
8
46
48
-2
2
9
52
47
5
5
10
57
52
5
5
Sum
451
443
8
34
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44.3
0.8
3.4
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147
2
148
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151
4
145
5
155
6
152
7
155
8
157
9
160
10
165
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