Decreasing the sample size, while holding the confidence

Answered question

2022-03-22

Decreasing the sample size, while holding the confidence level the same, will do what to the length of the confidence interval?

Answer & Explanation

user_27qwe

user_27qwe

Skilled2022-05-13Added 375 answers

n=(Zα/2σE)2

where

n - sample size

Zα/2 - Z-value corresponding to confidence level

σ - standart deviation

E - length of confidence interval

 

If we keep Zα/2 and σ the same value, decreasing the sample, size will increase the length of confidence interval

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