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Define the random variables X and X in words. X is the amount of time an individual waits at the courthouse to be called for service. X is the mean wait time for a sample of individuals. X is the number of individuals at the courthouse to be called for service. X is the average number of individuals at the courthouse. X is the number of individuals at the courthouse to be called for service. X is the average number of individuals at the courthouse. X is the amount of time an individual waits at the courthouse to be called for service. X is the mean wait time for a sample of individuals.

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Question

Suppose that a committee is studying whether or not there is excessive time waste in our judicial system. It is interested in the mean amount of time individuals spend at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was 4 hours with a sample standard deviation of 1.2 hours. Define the random variables X and [tex]\bar{X}[/tex] in words.

Answer:

(B)

  • X is the amount of time an individual waits at the courthouse to be called for service.
  • [tex]\bar{X}[/tex]  is the mean wait time for a sample of individuals.

Step-by-step explanation:

The random variable X is the amount of time for which each of the prospective juror waits at the courthouse before being called for service.

[tex]\bar{X}[/tex]  is the mean wait time for a the given sample of individuals. In the case given,