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A random sample is used to estimate the mean time required for caffeine from products such as coffee or soft drinks to leave the body after consumption. A 95% confidence interval based on this sample is: 5.6 hours to 6.4 hours (for adults).


What is the sample mean (x with bar on top )?

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Answer:

The sample mean time required caffeine to leave the body is 6.0 hours.

Step-by-step explanation:

Confidence Interval can be calculated using M±ME where

  • M is the mean time required for caffeine to leave body
  • ME is the margin of error from the mean

Given 95% confidence interval  5.6 hours to 6.4 hours, we can conclude that

M-ME=5.6

M+ME=6.4

Thus M=6

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