Question

The manager of a warehouse would like to know how many errors are made when a product's serial number is read by a bar-code reader. Six samples are collected of the number of scanning errors: 36, 14, 21, 39, 11, and 2 errors, per 1,000 scans each.
Just to be sure, the manager has six more samples taken:
33, 45, 34, 17, 1, and 29 errors, per 1,000 scans each

How reasonable is it to expect that the small sample represents larger samples?

Answer 1

It reasonable to expect that the small sample represents larger samples. The fact that having these small samples, we can say its reasonable to represent larger samples because it makes inferences. It replicates more or less the whole population. The selected samples are randomly selected or any other sampling technique. Note, you cannot check all the population most especially if it's very big.