In: Statistics and Probability
A random sample of 77 eighth-grade students' scores on a national mathematics assessment test has a mean score of 264 with a standard deviation of 40.
This test result prompts a state school administrator to declare that the mean score for the state's eighth-graders on this exam is more than 260.
At a=0.09, is there enough evidence to support the administration's claim? Complete parts (a) through (e).