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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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Rhythm&Blues versus Alternatives A music industry producer

Chapter 11, Problem 18AYU

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QUESTION:

Problem 18AYU

Problem

Rhythm&Blues versus Alternatives A music industry producer wondered whether there is a difference in lengths (in seconds) of rhythm&blues songs versus alternative songs. He obtained a random sample of each music category and documented song lengths. The results are in the following table. Test whether the length of rhythm&blues songs is different from the length of alternative songs at the α = 0.1 level of significance.

Note: sRB = 26.9,sALT = 28.9.

Rhythm&Blues (in seconds)

267

244

233

293

231

224

271

246

258

255

281

256

236

231

224

203

258

237

228

217

205

217

227

211

235

241

211

257

321

264

Alternative (in seconds)

246

279

226

255

249

225

216

197

216

232

256

307

237

216

187

258

253

223

264

255

227

274

192

213

272

226

251

202

278

216

Source: www.yahoo.com/music

Questions & Answers

QUESTION:

Problem 18AYU

Problem

Rhythm&Blues versus Alternatives A music industry producer wondered whether there is a difference in lengths (in seconds) of rhythm&blues songs versus alternative songs. He obtained a random sample of each music category and documented song lengths. The results are in the following table. Test whether the length of rhythm&blues songs is different from the length of alternative songs at the α = 0.1 level of significance.

Note: sRB = 26.9,sALT = 28.9.

Rhythm&Blues (in seconds)

267

244

233

293

231

224

271

246

258

255

281

256

236

231

224

203

258

237

228

217

205

217

227

211

235

241

211

257

321

264

Alternative (in seconds)

246

279

226

255

249

225

216

197

216

232

256

307

237

216

187

258

253

223

264

255

227

274

192

213

272

226

251

202

278

216

Source: www.yahoo.com/music

ANSWER:

Answer :

Step 1 :

Given,

 = 0.1, = 242.7,   = 238.3 , = 26.9,  .,

Hypothesis

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