Question

In: Statistics and Probability

You are investigating if knee diameter increases with osteoarthritis (OA)-associated inflammation. Each patient has one contralateral...

  1. You are investigating if knee diameter increases with osteoarthritis (OA)-associated inflammation. Each patient has one contralateral control (healthy) knee and one knee with severe osteoarthritis. You are interested in determining with 95% confidence if osteoarthritis increases (hint: use the correct alternate hypothesis) joint swelling in OA knees in comparison to their contralateral control knee. Write the null and alternate hypothesis and determine if there is a significant difference in Knee Diameter with and without OA.

Knee Diameter (cm)

Contralateral Control

OA Knee

Patient 1

16

18

Patient 2

24

28

Patient 3

22

25

Patient 4

10

12

Patient 5

24

27

Patient 6

17

19

Solutions

Expert Solution

Let difference, d=OA Knee - Contralateral Control

The hypotheses are:

Enter data in excel.

Click on Data->Data Analysis.

Click on t-Test: Paired Two Sample for Means.

Enter both data ranges and click ok.

The output is shown below:

Since p-value = 0.000 is extremely small, reject the null hypothesis. With 95% confidence, we can conclude that osteoarthritis increases joint swelling in OA knees in comparison to their contralateral control knee.


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