Which of the following randomly selected measurements, x ,might be considered a

Question

Which of the following randomly selected measurements, x,might be considered a potential outlier (i.e., an unusualmeasurement) if it was selected from the given population? a. x = 7 from a population with = 3 and = 2 b. x = 1 from a population with = 0 and = 2 c. x = 0 from a population with = 0 and = 2 d. x = -5 from a population with = 1 and = 4 e. x = 4 from a population with = 0 and = 1


Please thoroughly explain how you got the answer so I canunderstand. Thank you!
a. x = 7 from a population with = 3 and = 2 b. x = 1 from a population with = 0 and = 2 c. x = 0 from a population with = 0 and = 2 d. x = -5 from a population with = 1 and = 4 e. x = 4 from a population with = 0 and = 1


Please thoroughly explain how you got the answer so I canunderstand. Thank you!
a. x = 7 from a population with = 3 and = 2 b. x = 1 from a population with = 0 and = 2 c. x = 0 from a population with = 0 and = 2 d. x = -5 from a population with = 1 and = 4 e. x = 4 from a population with = 0 and = 1


Please thoroughly explain how you got the answer so I canunderstand. Thank you!

Explanation / Answer

A good rule of thumb is to call anything that falls outside of3 standard deviations of the mean an outlier. This would give usthe following standard deviations for parts a-e: a. (7-3)/2=2 std. dev's b.(1-0)/2=.5 std. dev's c.(0-0)/2=0 std. dev's d.(-5-1)/4=-1.5 std. dev's e.(4-0)/1=4 std. dev's A: e. is the correctanswer...if the population is normally distributed, the probabilityof seeing something that far from the mean or farther is.0000317. A: e. is the correctanswer...if the population is normally distributed, the probabilityof seeing something that far from the mean or farther is.0000317.

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