A test is made of $H _ { 0 } : \mu = 44 \text { versus } H _ { 1 } : \mu 44$ A sample of size n=66 is drawn, and $\bar { x } = 48$ The population standard deviation is $\sigma = 25$ Compute the value of the test statistic z and determine if $H _ { 0 }$ is rejected at the $\alpha = 0.01$ level.
A) $0.16 , H _ { 0 } \text { not rejected }$
B) $1.30 , H _ { 0 } \text { rejected }$
C) $0.16 , H _ { 0 } \text { rejected }$
D) $1.30 , H _ { 0 } \text { not rejected }$

Question

A test is made of $H _ { 0 } : \mu = 44 \text { versus } H _ { 1 } : \mu > 44$  A sample of size  n=66  is drawn, and $\bar { x } = 48$ The population standard deviation is $\sigma = 25$ Compute the value of the test statistic  z  and determine if $H _ { 0 }$ is rejected at the $\alpha = 0.01$ level.
A) $0.16 , H _ { 0 } \text { not rejected }$
B) $1.30 , H _ { 0 } \text { rejected }$
C) $0.16 , H _ { 0 } \text { rejected }$
D) $1.30 , H _ { 0 } \text { not rejected }$

Quizplus · Accepted Answer

The test statistic $z$ is calculated using the formula $z = \frac{\bar{x} - \mu}{\sigma / \sqrt{n}}$, where $\bar{x} = 48$, $\mu = 44$, $\sigma = 25$, and $n = 66$. Substituting these values gives $z = \frac{48 - 44}{25 / \sqrt{66}} \approx 1.30$. At the $\alpha = 0.01$ level, the critical value for a one-tailed test is approximately 2.33. Since 1.30 is less than 2.33, $H_0$ is not rejected.

A Test Is Made Of H0:μ=44 versus H1:μ>44H _ { 0 } : \mu = 44 \text { versus } H _ { 1 } : \mu > 44H0​:μ=44 versus H1​:μ>44

A Test Is Made Of $H _ { 0 } : \mu = 44 \text { versus } H _ { 1 } : \mu > 44$