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A group of adult males has foot lengths with a mean of 27.08 cm and a standard deviation of 1.35 cm . Use the range rule of thumb for identifying significant values to identify the lim
separating values that are significantly low or significantly high. Is the adult male foot length of 23.9 cm significantly low or significantly high? Explain.

Ask by Frank Reyes. in the United States
Jan 27,2025

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A foot length of 23.9 cm is significantly low for adult males.

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The Deep Dive

To identify the limits for significantly low or high foot lengths using the range rule of thumb, we can calculate the lower and upper bounds. According to this rule, we subtract and add two standard deviations to the mean.
So, the lower limit is: 27.08 cm - 2(1.35 cm) = 24.38 cm.
And the upper limit is: 27.08 cm + 2(1.35 cm) = 29.78 cm.
Any foot length below 24.38 cm or above 29.78 cm is considered significantly low or significantly high, respectively. Since the foot length of 23.9 cm is less than 24.38 cm, it is indeed significantly low.
On a fun note, if foot sizes were like superhero powers, a 23.9 cm foot wouldn’t just be smaller—it might be dubbed the “Shrinking Stomp!” Just remember, not all heroes wear big boots!!!

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