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  3. Statistical Thinking in Python (Part 2)

Exercise

Confidence interval on the rate of no-hitters

Consider again the inter-no-hitter intervals for the modern era of baseball. Generate 10,000 bootstrap replicates of the optimal parameter \(\tau\). Plot a histogram of your replicates and report a 95% confidence interval.

Instructions

100 XP
  • Generate 10000 bootstrap replicates of \(\tau\) from the nohitter_times data using your draw_bs_reps() function. Recall that the optimal \(\tau\) is calculated as the mean of the data.
  • Compute the 95% confidence interval using np.percentile() and passing in two arguments: The array bs_replicates, and the list of percentiles - in this case 2.5 and 97.5.
  • Print the confidence interval.
  • Plot a histogram of your bootstrap replicates. This has been done for you, so hit submit to see the plot!