A test is made of $H _ { 0 } : \mu = 54$ versus $H _ { 1 } : \mu \neq 54$. A sample of size $n = 73$ is drawn, and $\bar { x } = 57$. The population standard deviation is $\sigma = 21$. Compute the value of the test statistic $z$.
A) 5.59
B) 0.89
C) 1.22
D) 0.14

Question

Quizplus · Accepted Answer

The test statistic $z$ is calculated using the formula $z = \frac{\bar{x} - \mu}{\sigma / \sqrt{n}}$. Substituting the given values: $z = \frac{57 - 54}{21 / \sqrt{73}} \approx 1.22$.

A Test Is Made Of H0:μ=54H _ { 0 } : \mu = 54H0​:μ=54

A Test Is Made Of $H _ { 0 } : \mu = 54$