A random sample of 87 eighth grade? students' scores on a national mathematics assessment test has a mean score of 279. 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 270. Assume that the population standard deviation is 39.
α=0.04?, is there enough evidence to support the? administrator's claim?.
?(a) Write the claim mathematically and identify H0 and Ha.