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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It is believed that

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It is believed that the machine is underfilling the bags. A 1414 bag sample had a mean of 447 grams with a variance of 289289. Assume the population is normally distributed. A level of significance of 0.05 will be used. State the null and alternative hypotheses.

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