Hypothesis testing-population mean using large sample test


People are chosen to serve on juries by randomly picking names from list of registered voters, the average age for registered voters in country is m=39.7 years with the standard deviation of s=12.4. A statistician randomly chooses a sample of n=16 people who're currently serving on juries. The average age for individuals in the sample is M=48.9 years.

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

b. Is it reasonable to conclude that this set of n=16 people isn't a representative random sample of registered voters?

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Basic Statistics: Hypothesis testing-population mean using large sample test
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