Question

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 423 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario.

Answer 1

Answer:

Given,

Let us assume that be the population mean of chocolate chips & then the hypothesis can be given as follows

i.e.,

Null hypothesis can be given as follows

i.e.,

Ho : = 423 grams

Now alternative hypothesis can be given as follows

i.e.,

Ha : 423 grams

Here, we have to test both the cases

i.e.,

Underfilled or Overfilled,

So hence we can utilize the two tailed hypothesis here.