Question

Researchers gathered data from various hospitals to determine if the success rate of heart

transplants differed based on the volume of transplants done at the hospitals. The

following grouped boxplot shows mortality rate (deaths per year per 100 patients) for heart

transplant patients at a sample of hospitals categorized as either low-volume or high-

volume

3. Researchers gathered data from various hospitals to determine if the success rate of heart transplants differed based on the volume of transplants done at the hospitals. The following grouped boxplot shows mortality rate (deaths per year per 100 patients) for heart transplant patients at a sample of hospitals categorized as either low-volume or high- volume: Mortality Rate of Heart Transplants 40 30 Mortality per 100 Transplants 20 10 0 High Low Volume of Transplants In 2-3 complete sentences, use appropriate statistical language to compare the distributions of mortality rates between high-volume and low-volume hospitals. Be sure to make a direct comparison of all of the relevant characteristics of the two distributions. (1.5pt)

Answer 1

Sol:

mortality rates is greater in low volume hospitals as median=28 as compared to

mortality rates in high volume hospitals which is median=18

No outliers seen in low volume hospitals and high volume hospitals.

high volume hospitals is approximately follows normal distribution compared to low volume hospitals which follow skewed distribution.(positively skewed)

Inter quartile range(IQR) for low volume hospitals=Q3-Q1=32-16=16

Inter quartile range for high  volume hospitals=Q3-Q1=20-12=8

IQR is high for low volume hospitals compared to high volume hospitals

Range for low volume hospitals=max-min=32-2=30

Range for high volume hospitals=26-8=18
From boxplot we can conclude that there are differences in

mortality rates (deaths per year per 100 patients) for heart

transplant patients at a sample of hospitals categorized as either low-volume or high-

volume.