A random sample of 81 eighth gradestudents' scores on a national mathematics assessment test has a mean score of 291. 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 285. Assume that the population standard deviation is 40. At =0.04, is there enough evidence to support theadministrator's claim?

A.)Find the standardized test statistic z, and its corresponding area. z=_____(round to two decimal points)

B.)Find the P-Value. P-value=_____(round to three decimal points)

C.) Decide whether to reject or fail to reject.