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The quality-control manager of a candy company wants to discover whether a filling machine over-or underfills 16-ounce bags randomly. The following data represent the filling stat us of 18 consecutive bags: A A A A A R R R A A A A A A A A A A. A bag is rejected (R) if it is either overfilled or underfilled and accepted (A) if it is filled according to specification. Test the randomnes of the filling machine in the way that it over- or underfills at the $\alpha$=0.05 level of significance.

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1 of 4We are given a sequence of filling statuses of bags. Based on the given data, there are the total of $n=18$ bags, out of which $n_{1}=3$ are rejected (R), $n_{2}=15$ are accepted (A), and there are $r=3$ runs.

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