Sampling with replacement
Bootstrapping is great for calculating confidence intervals for means; you'll now practice doing just that!
nba_weights
contains the weights of a group of NBA players in kilograms:
nba_weights = [96.7, 101.1, 97.9, 98.1, 98.1,
100.3, 101.0, 98.0, 97.4]
You are interested in calculating the 95% confidence interval of the mean weight of NBA players using this list.
The following have been imported for you: random
, and numpy
as np
.
This exercise is part of the course
Monte Carlo Simulations in Python
Exercise instructions
- Use
random.choices()
to sample nine heights from the list 1,000 times, with replacement. - Calculate the mean and 95% confidence interval for your simulation results, assigning the lower end of the confidence interval to
lower
and the upper end toupper
.
Hands-on interactive exercise
Have a go at this exercise by completing this sample code.
simu_weights = []
# Sample nine values from nba_weights with replacement 1000 times
for i in range(____):
bootstrap_sample = ____
simu_weights.append(np.mean(bootstrap_sample))
# Calculate the mean and 95% confidence interval of the mean for your results
mean_weight = ____
upper = ____
lower = ____
print(mean_weight, lower, upper)