Question

hospital emergency waiting times the mean of the waiting times in an emergency room is 120 minutes with a standard deviation of 12.2 minutes for people who are admitted for additional treatment. the mean waiting time for patients who are discharged after receiving treatment is 122 minutes with a standard deviation of 12.9 minutes. which times are more variable? part: 0 / 2 part 1 of 2 calculate the coefficient of variation. round your answers to one decimal place. additional treatment cvar: % discharged cvar: %

Explanation:

Step1: Recall coefficient - of - variation formula

The formula for the coefficient of variation (CV) is $CV=\frac{\sigma}{\mu}\times100\%$, where $\sigma$ is the standard deviation and $\mu$ is the mean.

Step2: Calculate CV for additional treatment

Given $\mu_1 = 120$ minutes and $\sigma_1=12.2$ minutes.
$CV_1=\frac{12.2}{120}\times 100\%=\frac{1220}{120}\% \approx 10.2\%$

Step3: Calculate CV for discharged patients

Given $\mu_2 = 122$ minutes and $\sigma_2 = 12.9$ minutes.
$CV_2=\frac{12.9}{122}\times 100\%=\frac{1290}{122}\% \approx 10.6\%$

Answer:

Additional treatment CVar: $10.2\%$
Discharged CVar: $10.6\%$