In a random sample of 400 watches, 3 are defective. Out of a total of 10,500 watches, how many would you expect to be defective based on the sample data?

Answer 1

To find out how many defective watches would be expected in the total population of 10,500 watches based on the sample data, we can use the proportion method.

In the sample of 400 watches, 3 are defective. So, the proportion of defective watches in the sample is 3/400 = 0.0075.

Now, we can use this proportion to estimate the number of defective watches in the total population of 10,500 watches:

0.0075 x 10,500 = 78.75

Therefore, based on the sample data, we would expect approximately 79 watches to be defective out of the total 10,500 watches.