smallest possible size of a sample using the Central Limit Theorem

Asked Sep 12 '18 at 23:07

Active Sep 12 '18 at 23:50

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It appears that in this question I could be missing something or is it?

X bar, the mean of a sample of n independent observation of X, is Normally distributed such that P(z > 0.25)< 0.1.

Find the smallest possible value of n.

Could there be a case of missing value ; am getting n = 25 rather than 44

edited Sep 12 '18 at 23:50

David G. Stork

asked Sep 12 '18 at 23:07

Waitara Mburu

There is not enough information here. You need to know the distribution of $X$ itself. – Ian Sep 12 '18 at 23:08
What is CLT? And why wouldn't you write out that acronym to increase the number of possible helpers? – David G. Stork Sep 12 '18 at 23:16
what is $z$ in your writing ? – Ahmad Bazzi Sep 12 '18 at 23:21
@DavidG.Stork Refers to central limit theorem.@AhmadBazzi seems to refer to the standardized random variable – Daniel Ordoñez Sep 12 '18 at 23:50
Oh sorry for CLT- central limit theorem, Z - standardized random variable and no more info was given. Thanks. – Waitara Mburu Sep 13 '18 at 00:02
@WaitaraMburu that $Z$ should be X bar, the value is $n=25$ in the case you are working with only 1 tail and $n=44$ if you are working with both tails. (I think the expression is $P(|\bar{X}|>0.25)<0.1$) – Daniel Ordoñez Sep 13 '18 at 00:04
Thank you Daniel, got it! – Waitara Mburu Sep 14 '18 at 10:33

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