A production filling operation has a historical standard dev

A production filling operation has a historical standard deviation of 6 ounces. When in proper adjustment, the mean filling weight for the production process is 50 ounces. A quality control inspector periodically selects at random 36 containers and uses the sample mean filling weight to see if the process is in proper adjustment. Answer the following questions:

1. Is this a 2-tailed test or a 1 tail?
2. What is the z-score if you want to commit a max Type I error of 5%?
3. If the sample mean is 48.3, would you conclude that the process is out of control?
4. If the sample mean is 52.05, would you conclude that the process is out of control?
5. What is the Lower cut-off ounces?
6. What is the Upper cut-off ounces?
7. If the inspector didn\'t worry about over-filling, will this be a 1 or 2 tail test?

Answer Choices:

1.96
No.
51.96
48.04
1 tail
2 tail
Yes

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Solution