Questions: A group of adult males has foot lengths with a mean of 26.84 cm and a standard deviation of 1.21 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 23.9 cm significantly low or significantly high? Explain. Significantly low values are 24.42 cm or lower. Significantly high values are 29.26 cm or higher. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The adult male foot length of 23.9 cm is not significant because it is between cm and cm . B. The adult male foot length of 23.9 cm is significantly high because it is greater than cm. C. The adult male foot length of 23.9 cm is significantly low because it is less than cm .

A group of adult males has foot lengths with a mean of 26.84 cm and a standard deviation of 1.21 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 23.9 cm significantly low or significantly high? Explain.

Significantly low values are 24.42 cm or lower.
Significantly high values are 29.26 cm or higher.
Select the correct choice below and fill in the answer box(es) to complete your choice.
A. The adult male foot length of 23.9 cm is not significant because it is between cm and cm .
B. The adult male foot length of 23.9 cm is significantly high because it is greater than cm.
C. The adult male foot length of 23.9 cm is significantly low because it is less than cm .

Transcript text: A group of adult males has foot lengths with a mean of 26.84 cm and a standard deviation of 1.21 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 23.9 cm significantly low or significantly high? Explain. Significantly low values are 24.42 cm or lower. Significantly high values are 29.26 cm or higher. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The adult male foot length of 23.9 cm is not significant because it is between cm and cm . B. The adult male foot length of 23.9 cm is significantly high because it is greater than cm. C. The adult male foot length of 23.9 cm is significantly low because it is less than cm .

Solution

Solution Steps

Step 1: Calculate Significantly Low and High Values

Using the range rule of thumb, we can determine the limits for significantly low and significantly high values based on the mean (\( \mu \)) and standard deviation (\( \sigma \)) of the foot lengths. The calculations are as follows:

Significantly low values: \[ \mu - 2\sigma = 26.84 - 2 \times 1.21 = 24.42 \text{ cm} \]
Significantly high values: \[ \mu + 2\sigma = 26.84 + 2 \times 1.21 = 29.26 \text{ cm} \]

Step 2: Evaluate the Given Foot Length

We need to determine if the adult male foot length of \( 23.9 \) cm is significantly low, significantly high, or not significant.

Since \( 23.9 \) cm is less than the significantly low threshold of \( 24.42 \) cm, we conclude that:

\[ 23.9 < 24.42 \]