Answer:
defective shirts = 288
Explanation:
If there are 6 defects in a sample of 500 shirts, we can use this information to predict the number of defective shirts out of the total number of shirts produced.
First, we can calculate the defect rate for the sample:
defect rate = (defective items / total items) x 100%
defect rate = (6 / 500) x 100%
defect rate = 1.2%
Next, we can use this defect rate to estimate the number of defective shirts out of the total 24,000 shirts produced:
defective shirts = defect rate x total items produced
defective shirts = 1.2% x 24,000
defective shirts = 288
Therefore, we can predict that out of the 24,000 shirts produced, approximately 288 of them are likely to be defective based on the sample of 500 shirts with 6 defects.