Question

Pictured below an scrambled order) are three histograms: One of them represents a population distribution The other two are s
200 150 100 50 0 12 15 18 21 24 Which of the following 6 possible orderings of the three histograms represents the sequence:
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Answer #1

The correct ordering is :

  • histogram 2 , histogram 3 , histogram 1

since , sampling distribution of the sample mean will tend to follow more Normal if we increase the sample size, if its population distribution is skewed . That is why the more bell shaped histogram ( histogram 1) is representing sampling distribution of x-bar for sample size n =30 , slighty less bell shaped histogram ( histogram 3) is representing sampling distribution of x-bar for sample size n =5 , and the positively skewed histogram ( histogram 2) is representing the populatin distribution .

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