Question

a group of adult males has foot lengths with a mean of 27.26 cm and a standard deviation of 1.28 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 30.1 cm significantly low or significantly high? explain. significantly low values are cm or lower. (type an integer or a decimal. do not round.)

Explanation:

Step1: Calculate the lower limit

The range rule of thumb states that significantly low values are \( \mu - 2\sigma \), where \( \mu = 27.26\) (mean) and \( \sigma = 1.28\) (standard deviation).

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Step2: Calculate the upper limit

Significantly high values are \( \mu + 2\sigma\).

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Step3: Check if 30.1 cm is significant

Since \(30.1>29.82\), the value 30.1 cm is significantly high.

Answer:

Significantly low values are \(24.7\) cm or lower. The adult - male foot length of \(30.1\) cm is significantly high because \(30.1>29.82\) (the upper limit for non - significant values calculated as \( \mu + 2\sigma\) where \( \mu = 27.26\) and \( \sigma = 1.28\)).