Question

A group of steers have a mean weight of 1150 pounds with a standard deviation of 85 pounds. What's the actual weight of an animal whose z-score is 1.5?

The weight is ____ pounds.(Type an integer or a decimal)

Answer 1

To find the actual weight of an animal whose z-score is 1.5, use the formula x = mean + (z * standard deviation). Substituting the given values, the weight is 1277.5 pounds.

Step-by-step explanation:

To find the actual weight of an animal whose z-score is 1.5, we can use the formula:

x = mean + (z * standard deviation)

Given that the mean weight of the group of steers is 1150 pounds with a standard deviation of 85 pounds, and the z-score is 1.5, we can substitute these values into the formula:

x = 1150 + (1.5 * 85)

Simplifying the equation:

x = 1150 + 127.5

x = 1277.5

Therefore, the actual weight of the animal whose z-score is 1.5 is 1277.5 pounds.