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Answer :
The correct option is d. 2ml.
1. 0.00035 ml:
- This value is extremely small and suggests an almost negligible variation.
- It is highly unlikely for manufacturing processes to control the volume with such high precision.
2. 375 ml:
- This value is equal to the mean volume, implying that the volume of the cans would vary from 0 ml to 750 ml, which is not realistic for a 375 ml can of soft drink.
3. 35 ml:
- This value indicates a relatively high variation where the volume of most cans would fall within a wide range around the mean.
- This level of variation is quite large for the consistency expected in beverage production.
4. 2 ml:
- This value represents a small but reasonable variation, suggesting that most cans will contain a volume close to 375 ml but will vary slightly due to the manufacturing process.
Given these options, the most reasonable and likely standard deviation for the volume of soft drink in individual cans is 2 ml.
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The most likely standard deviation for the volume of soft drink in 375 ml cans is 2 ml. This is based on industrial standards where small variations are typical.
The most appropriate choice is 2 ml. This is a realistic measure of variation in production processes for such volumes. Typically, variations in industrial processes for filling liquid, such as soft drink cans, are in the range of a few milliliters. The 0.00035 ml option is impractically small, 375 ml is the total volume, and 35 ml is excessively large for the given context.
Standard Normal Distribution
For example, if a bottle of water contains 12.05 fluid ounces with a standard deviation of 0.01 ounces, we understand that the deviation is announced in a practical and small range. Similarly, a 16-oz can might show slight variations due to different factors.
A standard deviation of 2 ml in 375 ml cans is a plausible choice, supported by quality control measures in manufacturing.
