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Image Based Question – 74896

Question

Order of least Margin of error in the graph given below is ?

A. 3>2>l

B. 3>t>2

C. l>3>2

D. l:2:3

 

Show Answer

Correct Answer » A

Explanation

Ans: A. 3>2>l

Ref Biostatistics Principles and Prsctice by B. Antonisamy and Mc graw hill publication, pg. 44-45

  • Given image shows three normal distribution curve of different sample size.
  • All three curves have same mean but different standard deviation.
    • As the sample size is decreasing, flatness of curve increasing and peak of curve diminishing which signifies wider confidence interval for given mean.
  • Narrower the base of curve, lesser the margin of error will be.
  • ln given question, curve I has least margin of error followed by curve 2 and curve 3 shows highest margin of error.
    • Hence correct answer is 3>2>1.
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