Arm span is the physical measurement of the length of an individual's arms from fingertip to fingertip. A man’s arm span is appr
oximately normally distributed with mean of 68 inches with a standard deviation of 3.7 inches. Find length in inches of the 97th percentile for a man’s arm span. Round answer to 2 decimal places
1 answer:
Answer:
The length for the 97th percentile for a man's arm span is 74.96 inches.
Step-by-step explanation:
We have a normal distribution for men's arm span, with mean of 68 inches and standard deviation of 3.7 inches.
The 97th percentil represents the value for which 97% of the observations are below.
We can search for the 97th percentile for the standard normal distribution. This will give a value z=1.88.
Then, we can convert this z-score to our distribution:
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