A food processing plant packs cereal into boxes with a targeted mean mass of 500 g.
A consumer protection agency claims that the boxes are being underfilled on average.
To investigate, they weigh a sample of boxes and find the following:
n=250∑x=124625∑x2=62145000 n = 250 \quad \sum x = 124625 \quad \sum x^2 = 62145000 n=250∑x=124625∑x2=62145000Find the mean and standard deviation of the sample.
Carry out a hypothesis test to test the agency's claim at the 1% significance level. State your assumptions clearly.
