3. The weights of apples in a shipment from Al's Orchards are normally distributed with a mean of 142 grams and a standard deviation of 9 grams. The weights of apples in a shipment from Zippy's Orchards are normally distributed with a mean of 165 grams and a standard deviation of 13 grams. A rotten apple has a mean of 156 grams. Was it more likely to come from Al's or from Zippy's? Use z-scores to explain. Show your work

Question

Mathematics

Nikolas Kirk

5 November, 00:25

3. The weights of apples in a shipment from Al's Orchards are normally distributed with a mean of 142 grams and a standard deviation of 9 grams. The weights of apples in a shipment from Zippy's Orchards are normally distributed with a mean of 165 grams and a standard deviation of 13 grams. A rotten apple has a mean of 156 grams. Was it more likely to come from Al's or from Zippy's? Use z-scores to explain. Show your work

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Marcelo Blankenship · Answer 1

The z score of the apple if it came from Al is 1.56

The z score of the apple if it came from Zippy's is -.69

Since -.69 is closer to 0, the apple is more likely to come from Zippy's