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


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 country is µ = 39.7 years with a standard deviation of s = 12.4. A statistician randomly selects a sample of n=16 people who are currently serving on juries. The average age for the individuals in the sample is M=48.9 years.

a. How likely is it to obtain a random sample of n=16 jurors with an average age greater than or equal to 48.9?

b. Is it reasonable to conclude that this set on n=16 people is not a representative random sample of registered voters?

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