Betty’s Bite-Size Candies are packaged in bags. The number of candies per bag is normally distributed, with a mean of 50 candies and a standard deviation of 3. At a quality control checkpoint, a sample of bags is checked, and 4 bags contain fewer than 47 candies. How many bags were probably taken as samples?
We first find the probability of finding a bag containing fewer than 47 candies. Solving for the z score of x =47: z = (x-μ)/σ = (47-50)/3 = -1 Using a z table, we find that the probability of z=-1 is 0.1587.
Therefore, if 4 bags are 0.1587 of the sample size, then 4 = 0.1587n n = 4/0.1587 n = 25.20 ≈ 25 bags were probably taken as samples.
