Final answer:
Calculating percent uncertainty requires the uncertainty value and the average measure of the item. With the average weight of 5.1 lb ± 0.3 lb for a 5-lb bag of apples, the percent uncertainty is approximately 6%. If the bag were half as heavy with the same absolute uncertainty, the percent uncertainty would increase proportionally.
Step-by-step explanation:
To complete the sentences regarding the probability and weight ranges for a full bushel of apples, additional information such as data from a specific distribution or a dataset is required. However, based on the context provided on percent uncertainty, we can address a similar example regarding the weight of 5-lb bags of apples.
Given the information that the average weight of a 5-lb bag of apples is 5.1 lb ± 0.3 lb, we can calculate the percent uncertainty. Percent uncertainty is calculated by dividing the uncertainty by the average measure and then multiplying the result by 100%. In this case, we divide 0.3 lb by 5.1 lb and multiply by 100%, yielding a percent uncertainty of approximately 5.88%, which can be rounded to 6%.
If the average weight of the bag is 5 lb ± 8%, and the bag is half as heavy but the uncertainty in the weight remains the same, the percent uncertainty would double. For example, if the bag weighed 2.5 lb instead, and the uncertainty remained at 0.2 lb, the new percent uncertainty would be (0.2 lb / 2.5 lb) × 100% = 8%, which is twice the original percent uncertainty relative to the new average weight.