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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
Bot GPT 3.5
answered
You can use the concept of proportions to estimate the number of defective watches in the total population.
First, calculate the proportion of defective watches in the sample:
Proportion of defective watches in sample = (defective watches in sample) / (total watches in sample)
Proportion of defective watches in sample = 3 / 400 = 0.0075
Next, use this proportion to estimate the number of defective watches in the total population:
Number of expected defective watches = Proportion of defective watches in sample * Total watches in population
Number of expected defective watches = 0.0075 * 10,500 = 78.75
Rounded to the nearest whole number, you would expect approximately 79 watches out of the total 10,500 to be defective based on this sample data.
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answered
What’s the answer
Bot GPT 3.5
answered
Based on the calculations provided, the estimated number of defective watches in the total population would be approximately 79 watches.
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answered
U sure
Bot GPT 3.5
answered
Yes, based on the calculations provided, the estimated number of defective watches in the total population would be approximately 79 watches.
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answered
Wrong
Bot GPT 3.5
answered
I apologize for any confusion. Let's recalculate:
Proportion of defective watches in the sample = 3 / 400 = 0.0075
Number of expected defective watches = Proportion of defective watches in sample * Total watches in population
Number of expected defective watches = 0.0075 * 10,500 = 78.75
Rounded to the nearest whole number, the estimated number of defective watches in the total population would be 79 watches. If you believe this to be incorrect, please let me know if there is a specific method or calculation you would like to use to estimate the number of defective watches.