How to prove the siginicance difference level in this data?

[koksiang100]

I have collected a set of data of 52 weeks of actual output and demand.

Actual 1100 1300 1400 1500 1600 1100 1200 1600 2100 1300 1600 1300 1600 2200 2300 1700 1800 800 1400 900 2100 1400 1800 1900 1000 1800 1700 2100 800 1100 900 1600 1700 1400 1100 1200 1700 900 700 900 1300 700 1500 700 1300 1100 1700 1600 1800 2000 1500 2100

Demand 1500 2100 1600 1500 2000 1600 1200 2000 2200 2000 2200 2000 2000 2500 2500 2000 2000 1000 2000 1500 2500 1500 2500 2500 2000 2000 2500 2500 1500 1500 1400 2000 2000 2000 1500 1500 2500 1500 1500 1500 2500 1500 2000 1500 1500 2000 2000 2500 2500 2500 2500 2500

Now I am having question in what test should I used and i I found out that one is normally distributed and the other one is not.

[PaigeMiller]

You haven't told us the hypothesis you wish to test.

We can't tell you how to obtain a significance level if we don't know what the hypothesis you wish to test is

[koksiang100]

Null hypo : u1 = u2

Alter hypo : u1 =/ u2

[StatDave]

If you don't want to assume a distribution for the data, you can use a nonparametric test with the WILCOXON option in PROC NPAR1WAY.

[koksiang100]

how to prove that my data set is non-parametric?

[Ksharp]

You don't need to prove the data is non-parametric.

Non-parameter method is suited for any distribution data.

But if your data comply with bi-variable normal distribution then use proc ttest which has more power than non-parameter method.