Help with statistics please..?

Question

Hi! Ok i have to determine if excercise improves health, i have 60 patients and i have their oxygen intake before and after 2 years of excercising (a segment provided below), and i have to use the best stastistical methods to conclude whether or not excercise improves health, soo anyone could please give me a hand as to what they would do and what they would conclude? You dont have to show working, just the steps you would take and why you would do so etc Right now its obvious i need Mean,Median, Standard deviation and standard error, but i'd like to hear from somebody else too.

Thank you very much for your help and time :-)

O2 intake before O2 intake after 2 years

1 33.7---------- 46.8

2 32.3--------- 44.5

3 30.6--------- 42.4

4 29.3--------- 41.2

Answer 1

do a graph of your results and see if the correlation of the line is negative or positive.x.

Answer 2

(1) Perform a Linear Regression Test.

Y = A + B*X

where,

X = change in exercise

Y = change in O2 intake

Make a hypothesis:

null: no change in O2 intake

alternative: 02 intake increases

significance level: 0.05 or 0.01

Z(observed) = [Y(observed) - null(Y)]/standard error

*where standard error = standard deviation/sqrt(observations)

Z(0.05) = 1.645

If Z(observed) > 1.645, then reject null and conclude that evidence shows that exercise increases O2 intake.

After this, you can calculate a "coefficient of determination" to find out how much of variation in Y can be explained by the linear regression model.

(2) You can perform a hypothesis test on B(slope)