Question: People are selected to serve on juries by randomly picking names from the list of registered voters. The average age for registered voters in the

People are selected to serve on juries by randomly picking names from the list of registered voters.

The average age for registered voters in the county is μ = 44.3 years with a standard deviation of σ = 12.4.

A statistician computes the average age for a group of σ = 12 people currently serving on a jury and obtains a mean of M = 48.9 years.

a. How likely is it to obtain a random sample of n = 12 jurors with an average age equal to or greater than 48.9?

b. Is it reasonable to conclude that this set of n = 12 people is not a representative random sample of registered voters?

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