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Questions › DSE › DSE 2018 › Q16
4 marks, −1Statistics › Sampling distributions and limit theorems › Sampling distributions of the mean and proportionEasyabout 2 min

DSE 2018 Question 16: Sampling distributions and limit theorems

For a variable xxx the standard error of the sample mean is 202020 when samples of size 252525 are taken and 101010 when samples of size 100100100 are taken. A quadrupling of sample size has only halved the error. What must be the value of the standard error (standard deviation) of xxx?

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For a variable x the standard error of the sample mean is 20 when samples of size 25 are taken and 10 when samples of size 100 are taken. A quadrupling of sample size has only halved the error. What must be the value of the standard error (standard deviation) of x? (A) 1000 (B) 500 (C) 100 (D) 377.5

Sampling distributions and limit theorems has come up 25 times in 7 exams since 2007.

What this question tests

This question is on Sampling distributions of the mean and proportion, part of Sampling distributions and limit theorems in Statistics.

How sample statistics vary from sample to sample and how precisely they estimate.

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Question from the DSE 2018 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.