Question

Free fatty acids (FFA) were measured in fasting blood sample of 13 non-insulin-dependent diabetic men and 10 non-diabetic men. The results (in mmoI/L) were:

Diabetic 430 340 560 390 430 385 345 370 317 311 687 323 618

Non-diabetic: 445 265 493 265 410 274 296 219 286 250

a) Determine if the FFA is different for diabetic men and non-diabetic men

b) Write a brief summary of what the result show.

Answer 1

data<-data.frame(response,as.factor(ffa))

subdata<-subset(data, as.factor.ffa.=="diabetic" | as.factor.ffa.=="Non-diabetic")

t.test(subdata$response~subdata$as.factor.ffa, var.equal=TRUE)

Independent Samples t-Test
t	df	p Value	95.0% Confidence Interval	Estimated Mean
Lower	Upper	ffa-diabetic	ffa-Non-diabetic
2.21723945	21	0.03777397	6.40808348	200.06883959	423.53846154	320.3

here the p-value is less than 0.05 level of significance, hence we reject the null hypothesis of there is no difference in diabetic and non-diabetic of Free fatty acids (FFA). and conclude that the Free fatty acids (FFA) in fasting blood sample of mean of non-insulin-dependent diabetic men and mean of non-diabetic men is statistically significant.