Question

an engineer has designed a valve that will regulate water pressure on an automobile engine. the valve was tested on 180 engines and the mean pressure was 5.4 pounds/square inch (psi). assume the population standard deviation is 0.9. if the valve was designed to produce a mean pressure of 5.2 psi, is there sufficient evidence at the 0.05 level that the valve performs above the specifications? step 1 of 6: state the null and alternative hypotheses. answer 1 point

Explanation:

Step1: Define null hypothesis

The null hypothesis $H_0$ is that the valve performs at or below the specifications. So, $H_0:\mu\leq5.2$.

Step2: Define alternative hypothesis

The alternative hypothesis $H_a$ is that the valve performs above the specifications. So, $H_a:\mu > 5.2$.

Answer:

$H_0:\mu\leq5.2$
$H_a:\mu > 5.2$