A random sample of 75 eighth-grade students score's on a national mathematics assessment test has a score o 272 . This test result prompts a state school administrator to declare that the mean score...

A random sample of
75
eighth-grade students score's on a national mathematics assessment  test has a score o
272. This test result prompts a state school administrator to declare that the mean score for the state’s eighth graders of this exam is more than
270. Assume that the population standard deviation is
30, At a =
0.03, is there enough evidence to support the administrator’s claim? Compare parts (a) through (e).