A Test Is Made Of $H _ { 0 } : \mu = 60$

Multiple Choice

A test is made of $H _ { 0 } : \mu = 60$ versus $H _ { 1 } : \mu > 60$ . A sample of size $n = 77$ is drawn, and $\bar { x } = 64$ . The population standard deviation is $\sigma = 23$ . Compute the value of the test statistic $z$ and determine if $H _ { 0 }$ is rejected at the $\alpha = 0.05$ level.

A) $1.53 , H _ { 0 }$ not rejected
B) $0.17 , H _ { 0 }$ not rejected
C) $1.53 , H _ { 0 }$ rejected
D) $0.17 , H _ { 0 }$ rejected