Suppose that a candy company makes a candy bar whose weight is supposed to be 50 grams, but in fact, the weight varies from bar to bar according to a normal distribution with mean μ = 50 grams and standard deviation σ = 1 gram. if the company sells the candy bars in packs of 4 bars, what can we say about the likelihood that the average weight of the bars in a randomly selected pack is 2 or more grams lighter than advertised?

James is an employee in the widget inspection department of xyz systems, a government contractor. james was part of a 3-person inspection team that found a particular batch of widgets did not meet the exacting requirements of the u. s. government. in order to meet the tight deadline and avoid penalties under the contract, james' boss demanded that the batch of widgets be sent in fulfillment of the government contract. when james found out, he went to the vice president of the company and reported the situation. james was demoted by his boss, and no longer works on government projects. james has a: