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 this sample data?(1 point)
Based on this sample data, we can assume that the proportion of defective watches in the entire population is 3/400, which simplifies to 0.0075 or 0.75%.
Using this proportion, we can estimate the number of defective watches in the entire population by multiplying it by the total number of watches:
0.0075 x 10,500 = 78.75
Therefore, we would expect approximately 78 watches to be defective out of a total of 10,500 watches based on this sample data.
its 78
To find out how many watches would be expected to be defective based on the given sample data, you can use the concept of proportions.
Step 1: Calculate the proportion of defective watches in the sample:
proportion of defective watches in the sample = (number of defective watches in the sample) / (total number of watches in the sample)
proportion = 3 / 400 = 0.0075
Step 2: Use the proportion to estimate the number of defective watches in the total population:
estimated number of defective watches in the total population = proportion × (total number of watches in the population)
estimated number = 0.0075 × 10,500
Calculating the above equation:
estimated number = 78.75
Therefore, based on the given sample data, you would expect approximately 79 watches to be defective out of a total of 10,500 watches.