On a production line, batches of 20 metal discs are randomly selected each hour
ID: 3013575 • Letter: O
Question
On a production line, batches of 20 metal discs are randomly selected each hour for inspection. The diameter of each disc is measured, and the average diameter is recorded. The distribution of diameters is uniform. Once a week, all of the hourly values for average diameter are gathered, and the distribution is plotted. According to the central limit theorem, what kind of distribution will this be? a.It would be neither uniform nor Normal, but a different distribution. b.Normal c.It could be either uniform or Normal, depending on what happened on the production line that week. d.uniform
Explanation / Answer
ANSWER (b)
Jusification
Since the plot is of averages, it will be normal because average of iid cintinuous variables following any distribution follow Normal distribution by CLT.