A Test Was Made Of $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$

True/False

A test was made of $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$ versus $H _ { 1 } : \mu _ { 1 } < \mu _ { 2 }$ . The sample means were $\bar { x } _ { 1 } = 8$ and $\bar { x } _ { 2 } = 14$ , the sample standard deviations were $s _ { 1 } = 6$ and $s _ { 2 } = 8$ , and the sample sizes were $n _ { 1 } = 12$ and $n _ { 2 } = 11$ . Is $H _ { 0 }$ rejected at the 0.05 level? (Hint: First compute the value of the test statistic.)