Answer :
Final answer:
The correct range for the weight of the widgets is from 3 oz to 45 oz, as weights cannot be negative and the lighter weight should come first. This range aligns with option (b) provided in the question.
Explanation:
The correct range for the widget weights, given that 99.7% of them lie between two incorrect values (45 oz and 3 oz), must have the larger number first followed by the smaller number, reflecting the fact that weights cannot be negative. This means the correct range should be 3 oz to 45 oz, which is from the lightest to the heaviest widget. This corresponds to option (b). Understanding measurement uncertainty and systematic error is crucial. If the stated range was from 45 oz to 3 oz, it would imply that widgets can have negative weights, which is not physically possible. Therefore, we correct the range to be in ascending order.