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 94.6 beats per minute or higher. (type an integer or a decimal. do not round.) a pulse rate of 60.0 beats per minute is not significant because it is dropdown options: within two standard deviations of, more than two standard deviations below, more than two standard deviations above the mean.

Explanation:

Step1: Recall the range rule of thumb

The range rule of thumb states that significantly low values are \( \text{mean} - 2\times\text{standard deviation} \) or lower, and significantly high values are \( \text{mean} + 2\times\text{standard deviation} \) or higher. Values within \( \text{mean} - 2\times\text{standard deviation} \) and \( \text{mean} + 2\times\text{standard deviation} \) are not significant.

Step2: Calculate the lower and upper bounds

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

Lower bound: \( 70.4 - 2\times12.1 = 70.4 - 24.2 = 46.2 \)

Upper bound: \( 70.4 + 2\times12.1 = 70.4 + 24.2 = 94.6 \)

Step3: Check where 60.0 lies

We check if \( 46.2 < 60.0 < 94.6 \). Since \( 46.2 < 60.0 < 94.6 \), 60.0 is within two standard deviations of the mean.

Answer:

within two standard deviations of