Question

a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 412 gram setting. is there sufficient evidence at the 0.02 level that the bags are overfilled? assume the population is normally distributed. state the null and alternative hypotheses for the above scenario.

Explanation:

Step1: Define null hypothesis

The null hypothesis $H_0$ is a statement of no - effect or no - difference. Here, it is that the machine is working correctly at the 412 - gram setting. So, $H_0:\mu = 412$.

Step2: Define alternative hypothesis

The manufacturer wants to know if the bags are over - filled. So the alternative hypothesis $H_a$ is that the mean weight of the bags $\mu$ is greater than 412 grams. So, $H_a:\mu>412$.

Answer:

$H_0:\mu = 412$
$H_a:\mu>412$