A number of random samples of size $n$ are taken from a normal population with mean $83$ and var

Question

A number of random samples of size $n$ are taken from a normal population with mean $83$ and variance $21$ and the sample means are calculated. If at least $95$% of the sample means exceed $80$, find the least possible value of $n$.

Accepted Answer

$n=7$.

Using GC to find the possible value of n

Using GC to find the possible value of n

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