Question 1010725: 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 8 bags contain few than 47 candies. How any bags were probably taken as samples?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! I'm not sure I understand the last part of this question.
I will assume the following.
mean=50
sd=3
The probability that 8 bags would contain fewer than 47 candies is the probability that 8 bags are 1 or more sd from the mean. This is 16% of 50 bags, and the probability of anything in a normal distribution being more than -1 sd from the mean is 0.1584. Therefore, 50 bags is a reasonable sample size to postulate. Note, this is not the mean of the sample of bags, wherein a sample of 50 bags would not be expected to have a mean of 47 or fewer candies.
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