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The table below shows a record of the "before" and "after" weights (in pounds) of 20 patients enrolled in a clinically-supervised ten-week weight-loss program.
Patient #
1
2
3
4
5
6
7
8
9
10
Before Wt (lbs)
272
319
253
325
236
233
300
260
268
276
After Wt (lbs)
263
313
251
312
227
290
262
11
12
13
14
15
16
17
18
19
20
215
245
248
364
301
203
197
217
210
223
206
235
237
350
288
195
193
216
202
214
Let XB represent the "Before" weight and XA the "After" weight.
(i) Using the same bin size for each data set, obtain histograms for the XB and XA data and plot both on the same graph. Strictly on the basis of a visual inspection of these histograms, what can you say about the effectiveness of the weight-loss program in achieving its objective of assisting patients to lose weight?
(ii) De?ne the difference variable, D = XB - XA , and from the given data, obtain and plot a histogram for this variable. Again, strictly from a visual inspection of this histogram, what can you say about the effectiveness of the weight-loss program?
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The following questions are adapted from a variety of sources including questions developed .
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