## Friday, 31 January 2014

### Python and R: Is Python really faster than R?

A friend of mine asked me to code the following in R:
1. Generate samples of size 10 from Normal distribution with $\mu$ = 3 and $\sigma^2$ = 5;
2. Compute the $\bar{x}$ and $\bar{x}\mp z_{\alpha/2}\displaystyle\frac{\sigma}{\sqrt{n}}$ using the 95% confidence level;
3. Repeat the process 100 times; then
4. Compute the percentage of the confidence intervals containing the true mean.
So here is what I got,

Staying with the default values, one would obtain

The output is a list of Matrix and Decision, wherein the first column of the first list (Matrix) is the computed $\bar{x}$; the second and third columns are the lower and upper limits of the confidence interval, respectively; and the fourth column, is an array of ones -- if true mean is contained in the interval and zeros -- true mean not contained.

Now how fast it would be if I were to code this in Python?