Instructions: All of the questions on this examination should be answered on the sheets provided. Write your name and your student number at the top of each sheet. Be certain to indicate the proper number before each of your answers. You will answer a total of six questions for this test (two questions from each group). Remember to show your work if an answer requires a mathematical solution. If you need additional space, you may write on the back of the answer sheets.
Answer any two of the following four questions.
1. Assume you have a data set from a normally distributed random variable. Answer the following questions about it.
a. Will the random variable be discrete, continuous, or neither? How do you know?
b. Will the data be qualitative or quantitative? How do you know?
2. Assume the following data were gathered by a manufacturer of a robotics component, in units of days of continuous use until the component fails. There are 60 measurements in this data set. Show a histogram of this data set with 10 bins of equal size, spanning the range from the data minimum to the data maximum.
|
142
|
147
|
127
|
161
|
145
|
137
|
122
|
123
|
141
|
139
|
139
|
|
135
|
135
|
130
|
147
|
118
|
154
|
133
|
136
|
129
|
139
|
131
|
|
143
|
130
|
160
|
127
|
127
|
145
|
144
|
155
|
128
|
124
|
144
|
|
133
|
136
|
133
|
151
|
131
|
133
|
119
|
122
|
139
|
128
|
121
|
|
142
|
136
|
148
|
136
|
121
|
131
|
125
|
120
|
123
|
145
|
140
|
|
150
|
136
|
135
|
133
|
134
|
|
|
|
|
|
|