In a study of warp breakage during the weaving of fabric (Technometrics, 1982: 63), 100 specimens of yarn were tested. The number of cycles of strain to breakage was determined for each yarn specimen, resulting in the following data:
|
86
|
146
|
251
|
653
|
98
|
249
|
400
|
292
|
131
|
169
|
|
175
|
176
|
76
|
264
|
15
|
364
|
195
|
262
|
88
|
264
|
|
157
|
220
|
42
|
321
|
180
|
198
|
38
|
20
|
61
|
121
|
|
282
|
224
|
149
|
180
|
325
|
250
|
196
|
90
|
229
|
166
|
|
38
|
337
|
65
|
151
|
341
|
40
|
40
|
135
|
597
|
246
|
|
211
|
180
|
93
|
315
|
353
|
571
|
124
|
279
|
81
|
186
|
|
497
|
182
|
423
|
185
|
229
|
400
|
338
|
290
|
398
|
71
|
|
246
|
185
|
188
|
568
|
55
|
55
|
61
|
244
|
20
|
284
|
|
393
|
396
|
203
|
829
|
239
|
236
|
286
|
194
|
277
|
143
|
|
198
|
264
|
105
|
203
|
124
|
137
|
135
|
350
|
193
|
188
|
a. Construct a relative frequency histogram based on the class intervals 0-100, 100-200, . . . , and comment on features of the distribution.
b. Construct a histogram based on the following class intervals: 0-50, 50-100, 100-150, 150-200, 200-300, 300-400, 400-500, 500-600, 600-900.
c. If weaving specifications require a breaking strength of at least 100 cycles, what proportion of the yarn specimens in this sample would be considered satisfactory?