A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444 gram setting. Based on a 19 bag sample where the mean is 437 grams and the standard deviation is 27, is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled? Assume the population distribution is approximately normal.

Step 1 of 5 : State the null and alternative hypotheses.