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Chapter 2: Q72E (page 110)
Question: For any set of data, what can be said about the percentage of the measurements contained in each of the following intervals?
a.xbar- sto xbar+ s
b.xbar- 2sto xbar+ 2s
c.xbar- 3sto xbar+ 3s
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Network server downtime.A manufacturer of network computer server systems is interested in improving its customer support services. As a first step, its marketing department has been charged with the responsibility of summarizing the extent of customer problems in terms of system downtime. The 40 most recent customers were surveyed to determine the amount of downtime (in hours) they had experienced during the previous month. These data are listed in the table.
Customer Number | Downtime | Customer Number | Downtime |
230 | 12 | 250 | 4 |
231 | 16 | 251 | 10 |
232 | 5 | 252 | 15 |
233 | 16 | 253 | 7 |
234 | 21 | 254 | 20 |
235 | 29 | 255 | 9 |
236 | 38 | 256 | 22 |
237 | 14 | 257 | 18 |
238 | 47 | 258 | 28 |
239 | 0 | 259 | 19 |
240 | 24 | 260 | 34 |
241 | 15 | 261 | 26 |
242 | 13 | 262 | 17 |
243 | 8 | 263 | 11 |
244 | 2 | 264 | 64 |
245 | 11 | 265 | 19 |
246 | 22 | 266 | 18 |
247 | 17 | 267 | 24 |
248 | 31 | 268 | 49 |
249 | 10 | 269 | 50 |
a.Construct a box plot for these data. Use the information reflected in the box plot to describe the frequency distribution of the data set. Your description should address central tendency, variation, and skewness.
b.Use your box plot to determine which customers are having unusually lengthy downtimes.
c.Find and interpret the z-scores associated with the customers you identified in part b.
Explain how the relationship between the mean and median provides information about the symmetry or skewness of the data鈥檚 distribution.
Describe how the mean compares to the median for distribution as follows:
a.Skewed to the left
b.Skewed to the right
c.Symmetric
In terms of percentiles, define QL, QM and QU
The amount spent on textbooks for the fall term was recorded for a sample of five university students. The following data were observed: \(400, \)350, \(600, \)525, and $450. Calculate each of the following values for this data:
a.The sample mean
b.The sample median
c.The sample range
d.The standard deviation
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