Questions: At a golf ball factory, 60 golf balls were inspected and 48 of them passed inspection. Out of 2,500 golf balls made at the factory, about how many would you predict would fail an inspection? A 500 B 600 C 2,000 D 2,488

Solution Steps

First, we need to calculate the proportion of golf balls that failed inspection in the sample. Out of 60 golf balls, 48 passed inspection, which means \(60 - 48 = 12\) failed inspection.

The proportion of golf balls that failed inspection is given by:

\[ \text{Proportion of failures} = \frac{\text{Number of failures}}{\text{Total inspected}} = \frac{12}{60} = 0.2 \]

Using the proportion of failures from the sample, we can predict the number of failures in the entire batch of 2,500 golf balls. We do this by multiplying the total number of golf balls by the proportion of failures:

\[ \text{Predicted failures} = 0.2 \times 2500 = 500 \]

Final Answer