\( 1 \leftarrow \begin{array}{l}\text { A group of adult males has foot lengths with a mean of } 28.36 \mathrm{~cm} \text { and a standard deviation of } 1.34 \mathrm{~cm} \text {. Use the range rule of thumb for identifying signif } \\ \text { significantly low or significantly high. Is the adult male foot length of } 25.2 \mathrm{~cm} \text { significantly low or significantly high? Explain. } \\ \begin{array}{l}\text { Significantly low values are } \square \mathrm{cm} \text { or lower. } \\ \text { (Type an integer or a decimal. Do not round.) }\end{array}\end{array} \)

To determine whether an adult male foot length of \( 25.2 \, \text{cm} \) is significantly low or high using the **range rule of thumb**, follow these steps: 1. **Calculate Significantly Low Values:** The range rule of thumb typically defines significantly low values as those below \( \mu - 2\sigma \), where \( \mu \) is the mean and \( \sigma \) is the standard deviation. \[ \text{Significantly low cutoff} = \mu - 2\sigma = 28.36 \, \text{cm} - 2 \times 1.34 \, \text{cm} = 28.36 \, \text{cm} - 2.68 \, \text{cm} = 25.68 \, \text{cm} \] **Significantly low values are \( 25.68 \, \text{cm} \) or lower.** 2. **Assess the Given Foot Length:** The foot length in question is \( 25.2 \, \text{cm} \). \[ 25.2 \, \text{cm} < 25.68 \, \text{cm} \] Since \( 25.2 \, \text{cm} \) is less than \( 25.68 \, \text{cm} \), it falls into the category of **significantly low** foot lengths. 3. **Conclusion:** The adult male foot length of \( 25.2 \, \text{cm} \) is **significantly low** based on the range rule of thumb.