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A manufacturer claims that the mean lifetime of the batteries it produces is at least 250 hours of use. A sample of 24 batteries yielded

A manufacturer claims that the mean lifetime of the batteries it produces is at least 250 hours of use. A sample of 24 batteries yielded the following data:

271 230 198 275 282 225 284 219 253 216 288 236 291 253 224 264 295 211 252 294 243 272 268

With the assumption random sampling, use the sign test to find if the manufacturer's claim significance level 0.05.

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