Question

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 422 gram setting. Is there sufficient evidence at the 0.1 level that the bags are overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.

Ho:__________________

Ha:__________________

Answer 1

The null and alternative hypothesis at given significance level of is as follows:

i.e., the true mean amount of potato chips filled by filling machine is 422 grams if the machine setting is correct, i.e., 422 grams

i.e., the true mean amount of potato chips filled by filling machine is greater than 422 grams, which means that the bags are overfilled.

So, if the null hypothesis H₀ is true which means that, the potato filled by the filling machine in a bag is 422 grams. And if the alternative hypothesis H_a true, which means that, the potato filled by the filling machine in a bag is greater than 422 grams and we conclude that the bags are overfilled.