Question
A group of adult males has foot lengths with a mean of 28.36 cm and a standard deviation of 1.34 cm . Use the range rule of thumb for identifying significant values to identify significantly low or significantly high. Is the adult male foot length of 25.2 cm significantly low or significantly high? Explain. Significantly low values are 25.68 cm or lower. (Type an integer or a decimal. Do not round.) Significantly high values are 31.04 cm or higher. (Type an integer or a decimal. Do not round.) Select the correct choice below and fill in the answer box(es) to complete your choice. A. The adult male foot length of 25.2 cm is significantly high because it is greater than \( \square \mathrm{cm} \). (Type an integer or a decimal. Do not round.) B. The adult male foot length of 252 cm is not significant because it is between \( \square \mathrm{cm} \) and \( \square \mathrm{cm} \). (Type integers or decimals. Do not round.) C. The adult male foot length of 25.2 cm is significantly low because it is less than \( \square \mathrm{cm} \) (Type an integer or a decimal. Do not round.) C
Ask by Vega French. in the United States
Jan 22,2025
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Answer
The adult male foot length of 25.2 cm is significantly low because it is less than 25.68 cm.
Solution
**C.** The adult male foot length of 25.2 cm is significantly low because it is less than **25.68 cm**.
**Explanation:**
Using the range rule of thumb, significantly low values are those that are **2 standard deviations below the mean**.
- **Mean (μ)** = 28.36 cm
- **Standard Deviation (σ)** = 1.34 cm
Calculate the threshold for significantly low:
\[ \text{Significantly low} = \mu - 2\sigma = 28.36 \, \text{cm} - 2 \times 1.34 \, \text{cm} = 25.68 \, \text{cm} \]
Since 25.2 cm is **less than 25.68 cm**, it is considered **significantly low**.
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Significantly low values are 25.68 cm or lower, and significantly high values are 31.04 cm or higher. The adult male foot length of 25.2 cm is indeed significantly low because it is less than 25.68 cm. Therefore, the correct choice is: C. The adult male foot length of 25.2 cm is significantly low because it is less than 25.68 cm.