(Solved): A manufacturer of potato chips would like to know whether its bag filling machine works correctly a ...

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 419 gram setting. Is there sufficient evidence at the 0.01 level that the bags are underfilled? Assume the population is normally distributed. State the null and alternative hypotheses for the above scenario. Answer \[ \begin{array}{l} \mathrm{H}_{0}: \\ \mathrm{H}_{\mathrm{a}}: \end{array} \]