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 = 2 grams.
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 4 or more grams lighter than advertised?
(a) it is extremely unlikely for this to occur; the probability is very close to 0.
(b) there is about a 5% chance of this occurring.
(c) there is about a 16% chance of this occurring.
(d) there is no way to evaluate this likelihood, since the sample size (n = 4) is too small.
(e) there is about a 2.5% chance of this occurring.