The height we expect him to reach when he matures to a man is
76 inches
Step-by-step explanation:
The given is:
1. Assume adult men's heights (inches) are Normally distributed with
a mean of 69
2. The standard deviation is 3
3. A five-year old boy who is in the 99th percentile now, is able to
grow up healthy and maintain that percentile throughout his
growing years
At first use the normal distribution table to find z-score for the
corresponding area of 99% (0.9900)
∵ The closest z-scores are 2.32 and 2.33
∴ We can use the average z-score 2.325
∵ x = zσ + μ
∵ μ = 69 inches
∵ σ = 3 inches
∵ z = 2.325
∴ x = (2.325)(3) + 69
∴ x = 75.975
∴ x ≅ 76 inches
The height we expect him to reach when he matures to a man is
76 inches
Learn more:
You can learn more about percentile in brainly.com/question/4625002
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