At a certain high school, the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 3.1 pounds.

At a certain high school, the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 3.1 pounds. A random sample of 5 backpacks will be selected, and the weight, in pounds, of each backpack will be recorded. For samples of size 5, which of the following is the best interpretation of ?

A The probability that each of the 5 backpacks selected will have a weight above 22 pounds is approximately 0.05.

B The probability that each of the 5 backpacks selected will have a weight above 19.7 pounds is approximately 0.05.

C The probability that the population mean is greater than 22 pounds is approximately 0.05.

D For all samples of size 5, approximately 5% of the sample will have a probability greater than 22 pounds.

E For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.

Answer: The correct answer is For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.

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