Is it reasonable to conclude that this set of n 16 people, Ask an Expert

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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 = 39.7 years with a standard deviation of σ = 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 of n = 16 people is not a representative sample of registered voters?

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