Question: The Fresh-Juice Company packages frozen lemonade in cans claimed to have a mean weight of 0.5 kg. Determine an interval estimate for the population mean and population dispersion if an observed sample of 12 cans have the following weights, in kg:

0.494, 0.504, 0.426, 0.487, 0.503, 0.501, 0.514, 0.495, 0.498, 0.507, 0.483, 0.49.

What should be the range of our random sample if we demand the maximum tolerable error less than 0.001? Assume the normal distribution of the weight!