The quality-control manager of a bottling company wants to discover whether a filling machine overor underfills 16-ounce

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The quality-control manager of a bottling company wants to discover whether a filling machine overor underfills 16-ounce bottles randomly. The following data represent the filling status of 20 consecutive bottles:

A A A A A A A R R R R A A A A A A A R R

A bottle is rejected (R) if it is either overfilled or underfilled and accepted (A) if it is filled according to specification. Test the randomness of the filling machine in the way that it overor underfills at the α = 0.05 level of significance.

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