The weights of a certain dog breed are approximately normally distributed with a mean of μ = 55 pounds, and a standard deviation of σ = 6 pounds. Fill in the indicated boxes. μ = 55 σ = 6 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 = A dog has a z-score of -1.09. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds A dog has a z-score of 1.09. What is the dog's weight? Round your answer to the nearest tenth as needed. pounds

If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

Given that μ = 55, σ = 6;

For x = 49:

If the dog has a z-score of -1.09, his weight is:

If the dog has a z-score of 1.09, his weight is:

If the dog has a z-score of -1.09, his weight is 48.46kg but if the dog has a z-score of 1.09, his weight is 61.54kg

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(a)z=-1

(b)48.5 pounds

(c)61.5 pounds

Step-by-step explanation:

Given:

Mean, μ = 55 pounds

Standard deviation,σ = 6 pounds.

(a)For a dog that weighs 49 pounds.

x=49 pounds

The z-score

(b)When a dog has a z-score of -1.09

The weight of a dog with a z-score of -1.09 is 48.5 pounds.

(c)When a dog has a z-score of 1.09

The weight of a dog with a z-score of 1.09 is 61.5 pounds.