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Statistics
Study Set
Business Statistics Abridged
Quiz 5: Numerical Descriptive Measures
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Question 141
Essay
The following data are the heights (in cm) of the 25 students in a business statistics class:
164
148
137
157
173
156
177
172
169
165
145
168
163
162
174
152
156
168
154
151
174
146
134
140
171
\begin{array} { | l | l | l | l | l | l | l | l | l | l | } \hline 164 & 148 & 137 & 157 & 173 & 156 & 177 & 172 & 169 & 165 \\\hline 145 & 168 & 163 & 162 & 174 & 152 & 156 & 168 & 154 & 151 \\\hline 174 & 146 & 134 & 140 & 171 & & & & & \\\hline\end{array}
164
145
174
ā
148
168
146
ā
137
163
134
ā
157
162
140
ā
173
174
171
ā
156
152
ā
177
156
ā
172
168
ā
169
154
ā
165
151
ā
ā
a. Compute the range of the data. b. Compute the range approximation to the standard deviation of the data. (Hint: S
ā
\approx
ā
Range/4.)
Question 142
Essay
The following data are the heights (in cm) of the 25 students in a business statistics class:
164
148
137
157
173
156
177
172
169
165
145
168
163
162
174
152
156
168
154
151
174
146
134
140
171
\begin{array} { | l | l | l | l | l | l | l | l | l | l | } \hline 164 & 148 & 137 & 157 & 173 & 156 & 177 & 172 & 169 & 165 \\\hline 145 & 168 & 163 & 162 & 174 & 152 & 156 & 168 & 154 & 151 \\\hline 174 & 146 & 134 & 140 & 171 & & & & & \\\hline\end{array}
164
145
174
ā
148
168
146
ā
137
163
134
ā
157
162
140
ā
173
174
171
ā
156
152
ā
177
156
ā
172
168
ā
169
154
ā
165
151
ā
ā
a. Construct a box plot for the heights. b. State the interquartile range and identify any outliers. c. Compare the information regarding skewness conveyed by your box plot with that shown by a histogram.
Question 143
Essay
A linear regression model estimating the relationship between Expenditure on exports ($) and Annual household income ($) is as follows: Estimated Expenditure on Exports = 3.55 ā 0.02Annual household income Interpret the slope.
Question 144
Essay
A linear regression model estimating the relationship between Expendure on Imports and Annual household income has an r value of 0.90. Interpret r.
Question 145
Essay
A media article claimed that there was a correlation between the colour of a car and the likelihood of a car being in an accident. What is wrong with this statement?
Question 146
Essay
The frequency histogram for the heights (in cm) of the 25 students in a business statistics class is given below.
What is the best measure of central location?
Question 147
Essay
A linear regression model estimating the relationship between Expenditure on imports($) and Annual household income($) is as follows: Estimated Expenditure on Imports = 1.35 + 0.11Annual household income. Interpret the slope.