Question

body and exam measurements were collected from 300 subjects. the pulse rates from 100 males have a mean of 70.4 beats per minute and a standard deviation of 12.1 beats per minute. use the range rule of thumb for identifying significant values to identify the limits separating values that are significantly low or significantly high. is a pulse rate of 60.0 beats per minute significantly low, significantly high, or neither? (all of these pulse rates are measured at rest.) explain. click the icon to view the male pulse rates. significantly low values are 46.2 beats per minute or lower. (type an integer or a decimal. do not round.) significantly high values are \\(\square\\) beats per minute or higher. (type an integer or a decimal. do not round.) significantly high values are \\(\square\\) beats per minute or higher. (type an integer or a decimal. do not round.)

Explanation:

Step1: Recall the range rule of thumb for significant values

The range rule of thumb states that significantly low values are \( \text{mean} - 2\times\text{standard deviation} \) and significantly high values are \( \text{mean} + 2\times\text{standard deviation} \).

Given \( \text{mean} (\mu)=70.4 \) and \( \text{standard deviation} (\sigma)=12.1 \).

Step2: Calculate significantly high values

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

Substitute the values: \( 70.4+2\times12.1 \)

First, calculate \( 2\times12.1 = 24.2 \)

Then, \( 70.4 + 24.2=94.6 \)

Step3: Determine the status of 60.0

We have significantly low value as 46.2 (given) and significantly high as 94.6 (calculated).

Now, check where 60.0 lies. Since \( 46.2<60.0<94.6 \), 60.0 is neither significantly low nor significantly high.

Answer:

60.0 beats per minute is neither significantly low nor significantly high. The significantly high values are 94.6 beats per minute or higher.