A Test Is Made Of $H _ { 0 } : \mu = 50$

question 159

Multiple Choice

A test is made of $H _ { 0 } : \mu = 50$ versus $H _ { 1 } : \mu \neq 50$ . A sample of size $n = 71$ is drawn, and $\bar { x } = 56$ . The population standard deviation is $\sigma = 29$ . Compute the value of the test statistic $\mathrm { z }$ and determine if $H _ { 0 }$ is rejected at the $\alpha = 0.05$ level.

• A) \(1.74 , H _ { 0 }\) rejected
• B) \(0.21 , H _ { 0 }\) not rejected
• C) \(0.21 , H _ { 0 }\) rejected
• D) \(1.74 , H _ { 0 }\) not rejected

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