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Statistics and Probability/Mock exam run 1.md

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-
-### Null hyposthesis
-
-### Confidence interval
-Interval which is expected to contain the parameter
-$$
-CI = \bar{x} \pm z \frac{s}{\sqrt{n}}
-$$
-Where $z\frac{s}{\sqrt{n}}$ is the variation in our estimate.
-
-
-### T-Test
-Used to determine if there is a significant difference between the means of two groups.
-
-We have to assume:
-- Data follows a normal distribution
-- each observation is independent
-
-$$
-t = \frac{\text{mean} - \text{theoretical value}}{s\sqrt{n}}
-$$