Exercises

The following is a series of exercises. Answers to all the exercises are given in the Answers_to_Exercises_Chap7.ipynb Jupyter notebook in the GitHub repository:

1. The Data/paired_sampled_ttest.csv file in the GitHub repository contains two columns of data corresponding to observations on paired samples. Use the scipy.stats.ttest_rel function from the SciPy package to run a two-tailed paired-sample t-test. Is the difference between the sample means statistically significant at the level?
2. The object returned by the scipy.stats.ttest_rel function has a method that computes a confidence interval for the difference between the population means. Look at the documentation on scipy.stats.ttest_rel to see how to use this confidence interval method, and use it to calculate a 95% confidence interval for the paired sample in question 1.
3. A paired sample test can also be thought of as a one-sample test performed on the differences between the paired observations. The data...