The manager of a canning factory has noticed some cans with labels that are not glued on correctly. She wants to know how many cans might be affected. The manager asks each foreperson to check 20 random cans.

Question

Here are the data from one sample:
Correctly glued label 17
Incorrectly glued label 3
Based on the results of this sample, estimate how many cans of the 10,000 produced by the factory have incorrectly glued labels.

Answer 1

If 3 out of the 20 cans in the sample have an incorrectly glued label, we can estimate that approximately 3/20 = 0.15 or 15% of the cans in the factory may have incorrectly glued labels.

Therefore, we can estimate that out of the 10,000 cans produced by the factory, around 15% of them may have incorrectly glued labels. This would be approximately 0.15 x 10,000 = 1,500 cans with incorrectly glued labels.