A group of adult males has foot lengths with a mean of 28.14 cm and a standard deviation of 1.49 cm. Use the range rule of thumb for identifying significant values to identify the limits separating values that are significantly low or significantly high. Is the adult male foot length of 24.6 cm significantly low or significantly​ high? Explain.

Respuesta :

Answer: The range rule of thumb states that if a value is more than two standard deviations below the mean or more than two standard deviations above the mean, it is considered significantly low or significantly high, respectively.

Given:
Mean (μ) = 28.14 cm
Standard Deviation (σ) = 1.49 cm

Significantly low value = Mean - 2 * Standard Deviation
Significantly high value = Mean + 2 * Standard Deviation

Calculations:
Significantly low value = 28.14 - 2 * 1.49 ≈ 25.16 cm
Significantly high value = 28.14 + 2 * 1.49 ≈ 31.12 cm

The adult male foot length of 24.6 cm is significantly low because it falls below the significantly low value of 25.16 cm. This means it is more than two standard deviations below the mean and is considered an outlier based on the range rule of thumb.
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