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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