# solve an exercise of two samples using Kolmogorov-smirnov

I'm looking for books and information like crazy and I can not find what I need. Well the example proposed is about methods that have been used in literature students and these are the data collected:

$$\begin{array}{rr} \text{Method 1, “X"} & \text{Method 2, “Y"} \\ 48 & 14 \\ 40 & 18 \\ 39 & 20 \\ 50 & 10 \\ 41 & 12 \\ 38 & 102 \\ 53 & 17 \end{array}$$

calculate with a level of significance of $$\alpha = 0.05$$ and P-Value

Hypothesis

• $$H_0 : F_{(t)} = G_{(t)}$$

• $$H_0 : F_{(t)} \neq G_{(t)}$$

The null hypothesis indicates that there is no difference between the reading groups X and Y.

I would like your help but as I don't understand the development well, I would ask you to do it step by step.

and I would also like to know how I solve an exercise where the samples don't have the same size

• You need to use the self-study tag. – Michael R. Chernick Jun 3 '19 at 0:38
• 1. What's your response variable there? 2. You ask about significance but your question contains no hypotheses; it's only a meaningful question in the presence of them. What's your null and alternative? – Glen_b Jun 3 '19 at 3:56
• @Glen_b, edited – royer Jun 3 '19 at 16:23
• I presume F and G represent cdfs? – Glen_b Jun 4 '19 at 1:15
• @MichaelHardy thanks. I had to go look up how to do that in MathJax. The usual LaTex method didn't work. – Glen_b Jun 4 '19 at 1:22