a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433…
a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433 gram setting. it is believed that the machine is underfilling the bags. a 36 - bag sample had a mean of 427 grams. assume the population standard deviation is known to be 19. a level of significance of 0.05 will be used. state the null and alternative hypotheses.
Answer
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 filling bags correctly at the 433 - gram setting. So $H_0:\mu = 433$.
Step2: Define alternative hypothesis
The alternative hypothesis ($H_a$) is what we suspect to be true. Since it is believed the machine is under - filling, $H_a:\mu<433$.
Answer:
$H_0:\mu = 433$ $H_a:\mu<433$