Identifying Unusual Values with the Range Rule of Thumb. In Exercises,use the range rule of thumb to determine whether a value is unusual.

Pulse Rates of Females Based on Data Set 1 in Appendix B, females have pulse rates with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. Is it unusual for a female to have a pulse rate of 99 beats per minute? (All of these pulse rates are measured at rest.) Explain.

Answer :

Step 1 of 1 :

Given Pulse Rates of Females Based on Data Set 1 in Appendix B, females have pulse rates with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute.

We know that mean μ = 77.5 and standard deviation σ = 11.6

According to the range rule of thumb, most values should lie within 2 standard deviations of the mean.

We can therefore identify “unusual” values by determining if they lie outside these limits:

Maximum usual value = μ + 2σ

Maximum usual value = 77.5 + 2(11.6)

Maximum usual value = 77.5...