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The age of a students in a class is a normal random variable. There are 80...

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Statistics

The age of a students in a class is a normal random variable.There are 80 students in our class. I select 9 students randomlyand calculate the mean of their ages (sample mean). I repeat thisexperiment 1,000,000 times. Then I calculate the mean and standarddeviation of the 1,000,000 sample means that I measured; thecalculated values are 22 and 4, respectively. What is theprobability that the age of a randomly selected student in theclass is below 20?

Answer & Explanation Solved by verified expert
4.2 Ratings (583 Votes)
Since every student follows a normal distribution then the experiment of selecting 9 students from 80 students also follows normal distribution and 1000000experiments also follows normal distribution with    See Answer
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