Given:
- John sorts his mail into different folders but may misplace letters, making it hard to find them later.
- Jane hypothesizes that searching through all the letters without sorting them would be more efficient.
Step 1: Investigate which approach provides meaningful data to evaluate Jane’s hypothesis.
(A) Stopping the sorting and seeing if John is pleased with the new system.
- This only checks if John is satisfied, not the actual efficiency of the methods.
- Not the best option.
(B) Using each method for a month, and seeing which has more sorting errors.
- This focuses on sorting errors but doesn't provide data on the overall efficiency of searching or time-saving.
- Not the best option.
(C) Comparing the time it takes to sort the letters with the time it takes to find a misplaced letter.
- This addresses time spent on sorting vs. finding misplaced letters, but it doesn’t consider overall efficiency of the two methods.
- Somewhat useful but not complete.
(D) Comparing the look-up time without sorting with the look-up time in case of a sorting error.
- This directly compares the efficiency of finding letters with and without sorting, which helps evaluate Jane’s hypothesis.
- Strong option.
(E) Comparing the time saved by having pre-sorted folders to the time wasted on sorting and on sorting errors.
- This compares the time spent on sorting and errors, which is very relevant to assessing the overall efficiency of both methods.
- The best option.
Answer: E. Comparing the time saved by having pre-sorted folders to the time wasted on sorting and on sorting errors.