Question: A music industry producer wondered whether there is a difference in lengths (in seconds) of rhythm & blues songs versus alternative songs. He obtained a

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 a = 0.1 level of signiï¬cance.

267 224 281 203 205 241 Rhythm & Blues (in seconds) 233 246 236 237 227 257 244 271 256 258 217 211 293 258 231 228 211 321 231 255 224 217 235 264 246 225 256 258 227 226 Alternative (in seconds) 226 197 237 223 192 202 279 216 307 253 274 251 255 216 216 264 213 278 249 232 187 255 272 216

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Since both sample sizes are sufficiently large n RB n ALT 30 we can use Welchs t test The hypotheses ... View full answer

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