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

Answer 1

Answer:

The answer is B.

Step-by-step explanation:

Since such a frequent control is applied on the production line, 20 of the metal discs are inspected every hour, which means that any error will be corrected and prevented and that, as stated in the question, leads to a uniform distribution of the diameters of the metal discs.

According to the information given in the question and the central limit theorem, the observed distribution type will be normal distribution which means that the collected data will be consisted with respect to the mean and most of the data points will be around the mean point.

I hope this answer helps.