Question

A Cereal filling machine, fills the bottles with 500 grams on an average. Any overfilling or under-filling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is

Answer 1

Answer:

The correct set of hypothesis is:

$H_0: \mu = 500$

$H_1: \mu \neq 500$

Step-by-step explanation:

At the null hypothesis, we test that the mean is at the desired value of 500 grams, that is:

$H_0: \mu = 500$

At the alternate hypothesis, we test that the machine is either overfilling or under-filling, that is, the mean is different from 500. So

$H_1: \mu \neq 500$

The correct set of hypothesis is:

$H_0: \mu = 500$

$H_1: \mu \neq 500$