Machine A, used for filling bags with ground coffee, can be set to dispense any required mean weight of coffee per bag. At any setting the weight of coffee in a bag can be modelled by a normal distribution with a standard deviation of 1.95g. To meet an official regulation the setting on a machine must be adjusted so that no more than 1% of bags contain less than 125 g.

Calculate the smallest mean weight to which machine A should be set to meet the regulation.