The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24.5 ounces of cereal (as labeled on the box). At various times in the packaging process, we select a random sample of 100 boxes to see if the machine is (on average) filling the boxes as labeled. On Tuesday morning, at 7:45 a.m., a random sample of 100 boxes produced an average amount of 23.6 ounces.

Define an appropriate statement of the null hypothesis

Null Hypothesis, : = 24.5 ounces

Alternate Hypothesis, : 24.5 ounces

Step-by-step explanation:

We are given that the makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24.5 ounces of cereal.  

On Tuesday morning, at 7:45 a.m., a random sample of 100 boxes produced an average amount of 23.6 ounces.

Let = average amount of cereals fitted in the boxes

So, Null Hypothesis, : = 24.5 ounces

Alternate Hypothesis, : 24.5 ounces

Here, null hypothesis states that the automated packaging machine fill boxes with 24.5 ounces of cereal.

On the other hand, alternate hypothesis states that the automated packaging machine fill boxes with cereal different from 24.5 ounces.

So, this would be the appropriate hypothesis for conducting the test.

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