In a Test Of $H _ { 0 } : \mu = 250$

Essay

In a test of $H _ { 0 } : \mu = 250$ against $H _ { \mathrm { a } } : \mu \neq 250$ , a sample of $n = 100$ observations possessed mean $\bar { x } = 247.3$ and standard deviation $s = 11.4$ . Find and interpret the $p$ -value for the test.