A sports reporter thinks that the median weight of offensive linemen in the NFL is greater than 300 pounds. He obtains a random sample of 30 offensive linemen and obtains the data shown in Table 4. Do the data support the reporter's belief at the \(\alpha=0.1\) level of significance?

Approach Because the hypothesis is in regard to a median, use the sign test. Verify that the data were obtained from a random sample and then follow Steps 1 through 5.

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Table 4 285 310 300 300 320 308 310 293 329 293 326 310 297 301 315 332 305 340 242 310 312 329 320 300 311 286 309 292 287 305