Q1) People are chosen to serve on juries by arbitrarily picking names from list of registered voters, average age for registered voters in country is m=39.7 years with standard deviation of s=12.4. Statistician randomly chooses a sample of n=16 people who are presently serving on juries. Average age for individuals in the sample is M=48.9 years.
a) How probable is it to get a random sample of n=16 jurors with average age greater than or equal to 48.9?
b) Is it sensible to conclude that this set of n=16 people is not representative random sample of registered voters?