A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444 gram setting it is believed that the machine is overfiling the bags: A 39 bag sample had a mean of 452 grams. Assume the population standard deviation is known to be 19 . is there sufficient evidence at the 0.01 level that the bags are overfilled?

Step 1 of 3 : State the null and alternative hypotheses.

Answer
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$H_{0}:$

Step 1 ：Step 1: State the null and alternative hypotheses.

Step 2 ：The null hypothesis, denoted by $H_{0}$, is a statement that the mean weight of the bags is equal to the specified setting of 444 grams. So, we can write it as: $H_{0}: \mu = 444$

Step 3 ：The alternative hypothesis, denoted by $H_{1}$, is a statement that contradicts the null hypothesis. In this case, the alternative hypothesis would be that the mean weight of the bags is greater than the specified setting of 444 grams. So, we can write it as: $H_{1}: \mu > 444$

Step 4 ：Final Answer: The null hypothesis is \(\boxed{H_{0}: \mu = 444}\) and the alternative hypothesis is \(\boxed{H_{1}: \mu > 444}\)