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Introduction to Confidence Intervals
7. Sampling Distributions & Confidence Intervals: Mean / Introduction to Confidence Intervals / Problem 9
Problem 9

Researchers measured the simple reaction times (milliseconds) of a random sample of drivers and cyclists under identical conditions. From these samples, they computed a 95%95\% confidence interval for the difference in population mean reaction times (drivers minus cyclists) as:
15 ms<μdriverμcyclist<5 ms-15\(\text{ ms}\)\;<\;\(\mu\)_{\(\text{driver}\)}-\(\mu\)_{\(\text{cyclist}\)}\;<\;5\(\text{ ms}\)
What does this confidence interval suggest about whether the mean reaction time of drivers equals the mean reaction time of cyclists?