Random sample of 90 eighth grade students' scores on the national mathematics assessment test has mean score of 284 with standard deviation of 35. This test result prompts state school administrator to declare that mean score for state's eighth graders on this exam is more than 280. At mean = 0.14, is there adequate evidence to support administrator's claim.
Determine standardized test statistic z and its corresponding area. If convenient use technology. z=( ) round to two decimals. Area= ( ). round to four decimals.
Determine the P-value. If convenient, use technology. P-value = ( ) round to four decimal places as needed.
Make decision whether to reject or fail to reject null hypothesis. Reject Ho or Fail to reject Ho ( ).