What percent of adult male humans have a femur length between 40 cm and 50 cm?

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BlackTom AI · Accepted Answer

The question asks: 'What percent of adult male humans have a femur length between 40 cm and 50 cm?' However, the provided data lacks answer options to analyze, and no distribution parameters (mean, standard deviation, or raw data) are given.

What I can do is outline how one would approach answering this if the needed data were available:
- Step 1: Identify the distribution. In anthropometrics, a femur length for adult males is typically treated as a continuous variable that can be approximated by a normal distribution, centered around a mean with some standard deviation. However, the exact parameters depend on the population.
- Step 2: Gather parameters. You would need the mean femur length (μ) and the standard deviation (σ) for adult males in the specific population, or you would need the raw data to compute them.
- Step 3: Convert the interval to z-scores. Compute z1 = (40 - μ) / σ and z2 = (50 - μ) / σ.
- Step 4: Find the probability. Use the standard normal distribution to find P(z1 ≤ Z ≤ z2). This yields the percent of the population with femur length between 40 cm and 50 cm.
- Step 5: Interpret the result. The resulting probability depends entirely on μ and σ; different populations or measurement methods will yield different percentages.

Without any options to compare and without distribution parameters, we cannot determine or justify a specific percentage such as 'about 62%.' Providing a precise value would require empirical data or at least summarized statistics for the target population.

If you can supply the answer choices or the distribution parameters (mean and standard deviation) for the relevant population, I can compute the exact percentage and explain each option in detail.

Su25-STATS-141-01/BIO-141-01 Homework 2: Normal Distributions & Hypothesis Tests

What percent of adult male humans have a femur length between 40 cm and 50 cm?

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