Construct a relative frequency histogram

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Reference no: EM13966382

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?

Reference no: EM13966382

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