Final answer:
The question is about the expected differences in results between two properly conducted laboratory tests. A 5% difference is often within acceptable limits, given a common alpha of 0.05 or 5% significance level, but the exact value may vary with context.
Step-by-step explanation:
The question relates to the variability and precision of measurements in laboratory tests. When two properly conducted tests by different laboratories are compared, the results are not expected to differ by more than a certain percentage of the average. This expected variability allows us to understand and interpret laboratory results accurately. Considering the provided information and context, such as normal distribution, confidence intervals, and significance testing, the typically acceptable difference is related to the level of confidence and variance that researchers deem acceptable for their tests.
Given the emphasis on 95 percent confidence intervals and the common use of a 5 percent significance level (alpha= 0.05), it's reasonable to infer that a small discrepancy such as 5 percent would generally be within acceptable limits for many tests, as larger discrepancies like 10 or 15 percent would suggest more substantial variability which may not be acceptable in many scientific studies. However, without a definitive context, it's not possible to provide an exact answer to the question.