Question

Suppose the average weight of a male bulldog is 56 pounds with a standard deviation of 2.3 pounds. What would the weight of a male bulldog be if its standardized weight was z=0.9?

A) 54.29 pounds
B) 56.00 pounds
C) 58.07 pounds
D) 60.33 pounds

Answer 1

The weight of a male bulldog with a standardized weight of z=0.9 can be found using the formula x = μ + zσ, where x is the weight of the bulldog, μ is the average weight, z is the standardized weight, and σ is the standard deviation. Plugging in the given values, the weight would be approximately 58.07 pounds.

Step-by-step explanation:

To find the weight of a male bulldog when its standardized weight is z=0.9, we can use the formula:

x = μ + zσ

where x is the weight of the bulldog, μ is the average weight, z is the standardized weight, and σ is the standard deviation.

Given that the average weight of a male bulldog is 56 pounds with a standard deviation of 2.3 pounds, we can substitute these values into the formula:

x = 56 + (0.9 * 2.3)

x = 56 + 2.07

x = 58.07 pounds

Therefore, the weight of a male bulldog with a standardized weight of z=0.9 would be approximately 58.07 pounds. So, the correct answer is C) 58.07 pounds.