Question

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 400 gram setting. Is there sufficient evidence at the 0.02 level that the bags are overfilled? Based on a 35 bag sample, the manufacturer decides to reject the null hypothesis.

What is the conclusion?

Answer 1

Given that the manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 400 gram setting. So, it is a two tailed hypothesis test

Null hypothesis:- Mean is equal to 400 g

Alternate hypothesis:- Mean is not equal to 400 g

At 0.02 significance level, the manufacturer decided to reject the null hypothesis

We know that null hypothesis is rejected only when the result is significant

Therefore, we can conclude that at 0.02 significance level, there is sufficient evidence to conclude that the bag filling machine is not working correctly at the 400 gram setting