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The weights of a certain dog breed are approximately normally distributed with a mean of μ...

The weights of a certain dog breed are approximately normally distributed with a mean of μ μ = 50 pounds, and a standard deviation of σ σ = 7 pounds. A dog of this breed weighs 49 pounds. What is the dog's z-score? Round your answer to the nearest hundredth as needed. z = z= A dog has a z-score of 1.84. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds A dog has a z-score of -1.84. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds

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Answer #1

Z = (X - µ) / σ

Dog's z score = (49 - 50) / 7 = -0.14

Dog's weight with z score of 1.84 = 50 + 1.84 * 7 = 62.9

Dog's weight with z score of -1.84 = 50 - 1.84 * 7 = 37.1

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