Question

a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 411 gram setting. it is believed that the machine is under - filling the bags. a 26 bag sample had a mean of 404 grams with a standard deviation of 21. a level of significance of 0.01 will be used. assume the population distribution is approximately normal. state the null and alternative hypotheses.
answer 1 point

$h_0$:

$h_a$:

Explanation:

Step1: Define null hypothesis

The null hypothesis ($H_0$) is a statement of no effect. Here, it is that the machine fills bags correctly at the 411 - gram setting. So $H_0:\mu = 411$.

Step2: Define alternative hypothesis

The alternative hypothesis ($H_a$) is what we suspect is true. Since it is believed the machine is under - filling, $H_a:\mu<411$.

Answer:

$H_0:\mu = 411$
$H_a:\mu<411$