[All Steps] People are selected to serve on juries by randomly picking names from the list of registered voters. Suppose that the average age for registered


Question: People are selected to serve on juries by randomly picking names from the list of registered voters. Suppose that the average age for registered voters in L.A. county is \(\mu\) \(=39.7\) years with a standard deviation of \(\sigma=12.4\), and that the distribution of ages is approximately normal. A statistician randomly selects a sample of \(\mathrm{n}=16\) people who are currently serving on juries. The average age for the individuals in this sample is \(\mathrm{M}=\) 48.9 years.

  1. How likely is it to obtain a random sample of \(\mathrm{n}=16\) jurors with an average age greater than or equal to $48.9$ ?
  2. Is it reasonable to conclude that this set of \(\mathrm{n}=16\) people is not a representative random sample of registered voters?

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