In a Test Of $H _ { 0 } : \mu = 12$

Essay

In a test of $H _ { 0 } : \mu = 12$ against $H _ { \mathrm { a } } : \mu > 12$ , a sample of $n = 75$ observations possessed mean $\bar { x }$ $= 13.1$ and standard deviation $s = 4.3$ . Find and interpret the $p$ -value for the test.