Question $2\mathrm{.}2(10$pt$)$

Write a function bootstrap, which takes a data series $($data$)$ as an input and then performs a bootstrap. The function should take numIter samples from the data $($with replacement$)$ of size N$.$ It should then calculate the statistics defined in fcn for each iteration and record it in a numpy$-$array, which it should then return.

Input arguments

data: data series to resample

N: Sample size for each iteration

fcn: function to apply to the sample to get the statistics

numIter: Number of resamples $($should default to $1000)$

Output argument:

Numpy array of size numIter that contains the estimates of the statistic $($i$.$e$.$ the bootstrap sample$)$

Hints:

You can use np$.$random.choice to draw a sample $($with or without replacement$)$ from a data series