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Showing posts from January, 2014

Python and R: Is Python really faster than R?

A friend of mine asked me to code the following in R:
Generate samples of size 10 from Normal distribution with $\mu$ = 3 and $\sigma^2$ = 5;Compute the $\bar{x}$ and $\bar{x}\mp z_{\alpha/2}\displaystyle\frac{\sigma}{\sqrt{n}}$ using the 95% confidence level;Repeat the process 100 times; thenCompute 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?