At a certain store, the distribution of weights of cartons of large eggs is approximately normal with mean 26 ounces (oz). Based on the distribution, which of the following intervals will contain the greatest proportion of cartons of large eggs at the store? (A) 20 oz to 24 oz (B) 22 oz to 26 oz (C) 24 oz to 28 oz (D) 26 oz to 30 oz (E) 28 oz to 32 oz

Question

Mathematics

Charlie Ochoa

19 September, 16:01

At a certain store, the distribution of weights of cartons of large eggs is approximately normal with mean 26 ounces (oz). Based on the distribution, which of the following intervals will contain the greatest proportion of cartons of large eggs at the store? (A) 20 oz to 24 oz (B) 22 oz to 26 oz (C) 24 oz to 28 oz (D) 26 oz to 30 oz (E) 28 oz to 32 oz

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Answers (1)

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Athena Schneider · Answer 1

(C) 24 oz to 28 oz

Step-by-step explanation:

Since here it is given that "the distribution of weights of cartons of large eggs is approximately normal with mean 26 ounces (oz) ".

It means that the mean weight of the cartoon is approximately 26.

It is only possible in interval 24 oz to 28 oz. And rest are either smaller than 26 or greater than 26. Hence, only option (C) is correct.