Additional Information and Full Hypothesis Test Examples · Example 2

A college football coach records the mean weight that his players can bench press as 275 pounds, with a standard deviation of 55 pounds. Three of his players thought that the mean weight was more than that amount. They asked 30 of their teammates for their estimated maximum lift on the bench press exercise. The data ranged from 205 pounds to 385 pounds. The actual different weights were (frequencies are in parentheses)
• 205(3)
• 215(3)
• 225(1)
• 241(2)
• 252(2)
• 265(2)
• 275(2)
• 313(2)
• 316(5)
• 338(2)
• 341(1)
• 345(2)
• 368(2)
• 385(1)
.
Conduct a hypothesis test using a 2.5 percent level of significance to determine if the bench press mean is more than 275 pounds.

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Statistics · §9.5 Additional Information and Full Hypothesis Test Examples · Example 2