A cereal maker’s container machine is designed to fill boxes so that the mean weight of cereal in the boxes is 18 ounces. A simple random sample of 31 boxes produced by the machine yields a mean weight of 17.92 ounces and a standard deviation of 0.2 ounces. The randomness and independence conditions are satisfied. Which of the following is a true statement in regards to the large enough sample condition? a.) Since we do not know the individual weights from the sample boxes, we do not know if there are outliers or strong skewness and therefore the condition is not satisfied.

b.) Since the sample is large enough to expect 10 boxes that are over the mean and 10 boxes that are under the mean weight, the condition is satisfied.

c.) Since the shape of the population distribution of weight of cereal in each box is not known to be Normal, this condition is not satisfied.

d.) Since the sample size is > 30, the central limit theorem applies, the sampling distribution will be approximately normal, and the condition is satisfied.

e.) Since the sample is less than 10% of all cereal boxes, the sampling distribution will be approximately normal and the condition is satisfied.