Question

In a sample of 5 of 800 t-shirts,were defective. Based on this sample, in a production run of 250,000 how many would you expect to be defective?

Answer 1

Let's make an algebraic equation or proportion.
Let x be the amount of shirts defective in the 250,000 shirts.
5 x
----- = ------
800 250,000

Crossmultiply. You will get 800x = 1,000.000
Divide 800 on both sides.
This will make it
x = 1250
1,250 shirts were defective.

Answer 2

Explanation:

Given that the sample size was 800 t shirts.

Out of which 5 were found to be defective

Expected proporiton of defective shirts = 5/800 = 0.00625

This proportion will serve as an estimate for the next production run of 250000

Out of 250000 expected shirts to be defective = 250000*0.00625

=1562.50

=1563