A grocery store shopper wants to estimate the mean weight of the eggs in a particular carton of extra-large eggs. She opens the carton of eggs, randomly selects three eggs, and weighs them on a food scale. Are the conditions for constructing a t confidence interval met?

The eggs were randomly selected, so the random condition is met. A standard carton has 12 eggs, and 3 is more than 10% of 12, so the 10% condition is not met. Also, with only 3 eggs, the large-sample condition does not apply, and the question gives no evidence that egg weights are normally distributed. Thus the conditions are not all met; choice D is correct.

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