A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 281. This test result prompts a state school administrator to declare that the mean...

Extracted text: A random sample of 88 eighth grade students' scores on a national mathematics assessment test has a mean score of 281. 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 275. Assume that the population standard deviation is 40. At a = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). ..... (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. A. Ho: µs275 O B. Ho: µs275 (claim) Ha: µ> 275 C. Ho: µ<275 ha:="" µ2="" 275="" (claim)="" ha:="" µ=""> 275 (claim) O D. Ho: µ = 275 (claim) Ha: µ> 275 Ο Ε. H : μ = 275 Ha: µ> 275 (claim) ΟF H0: μ2 275 (claim) Ha: µ<275 (b)="" find="" the="" standardized="" test="" statistic="" z,="" and="" its="" corresponding="" area.="" (round="" to="" two="" decimal="" places="" as="">