A random sample of 79 eighth gradestudents' scores on a national mathematics assessment test has a mean score of 266.

This test result prompts a state school administrator to declare that the mean score for thestate's eighth graders on this exam is more than 260.

Assume that the population standard deviation is 37. At =0.02, is there enough evidence to support theadministrator's claim? Complete parts(a) through(e).