Answer:
Step-by-step explanation:
Given that sample size n = 88, for eight grade students
scores on a national mathematics assessment test has a mean score of 278. This test result prompts a state school administrator to declare that
x bar >270

(One tailed test at 15% sign level)
Since sigma, population sd is known and sample size is large we use z test
Std error = 
Mean difference 278-270=8
Z statistic = 
p value = 0.024
Since p <alpha, the administrator's declaration is correct.