High School

Suppose that the mean weight for men 18 to 25 years old is 172 pounds, and the standard deviation is 27 pounds. Assume that the weight for men 18 to 25 follows a normal distribution.

In each part below, find the value of the z-score for the given weight. Round your answer to 2 decimal places.

(a) 210 pounds.

z =

Answer :

Final answer:

To find the z-score for a given weight, you can use the formula z = (X - μ) / σ, where X is the weight, μ is the mean, and σ is the standard deviation.

Explanation:

To find the z-score, you can use the formula: z = (X - μ) / σ, where X is the given weight, μ is the mean, and σ is the standard deviation.

For the given weight of 210 pounds:

z = (210 - 172) / 27 = 1.41 (rounded to 2 decimal places)

Therefore, the z-score for a weight of 210 pounds is approximately 1.41.

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