The weights of pennies minted after 1982 are approximately normally distributed with mean 2.46 grams and standard deviation 0.02 grams.
What is the probability that in a simple random sample of 10 pennies minted after 1982, we obtain a sample mean of at least 2.465 grams?
I found out that the answer is 0.2148, but I don't know how to interpret my result. I know that if I take 100 of these pennies about 21 of them will result in a sample mean of at least 2.465, but when I say this it makes little sense. Am I saying that I am averaging 21 of these pennies to be at least 2.465 grams? Are they averaged randomly?
What's a better interpretation? The probability that a randomly selected penny will have a sample mean of 2.465 grams is 21.48%? When I say this, I still can't make sense of the wording.