Researchers examined the effect of phosphate supplementation on bone formation i

Question

Researchers examined the effect of phosphate supplementation on bone formation in six healthy adult dogs. For each dog, bone formation was measured twice: once after 12 weeks of phosphate supplementation and once after a 12-week control period. The results in percent bone growth per year are shown below. Do the data provide evidence that phosphate supplementation significantly stimulates bone formation?

Dog ID

1

2

3

4

5

6

Control

1.73

3.37

3.59

2.05

1.86

3.60

Phosphate

8.16

4.58

3.98

5.24

3.04

7.03

The P-value for the appropriate test is

Explanation / Answer

This is a paired data,so to test the difference in mean bone formation for phosphate supplementation and control we will conduct paired t-test. We will do in R.

Code To do in R:

ctrl<-c(1.73,3.37,3.59,2.05,1.86,3.60)
phspt<-c(8.16,4.58,3.98,5.24,3.04,7.03)

t.test(ctrl,phspt,paired=TRUE)

Output:

Paired t-test

data: ctrl and phspt
t = -2.9177, df = 5, p-value = 0.0331
alternative hypothesis: true difference in means is not equal to 0
95 percent confidence interval:
-4.9627650 -0.3139017
sample estimates:
mean of the differences
-2.638333

>

So from th eoutput we get the p-value of the test as 0.0331 (answer)

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