A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 418 gram setting. It is believed that the machine is underfilling the bags. A 34 bag sample had a mean of 410 grams. Assume the population variance is known to be 729. A level of significance of 0.02 will be used. State the null and alternative hypotheses.

Answer 1

Null hypothesis: The mean weight of the bags filled by the machine at the 418 gram setting is equal to 418 grams.

Alternative hypothesis: The mean weight of the bags filled by the machine at the 418 gram setting is less than 418 grams.