The length of the skulls of 10 fossil skeletons of an extinc

The length of the skulls of 10 fossil skeletons of an extinct species of bird has a sample mean of 5.68 cm and a sample standard deviation of 0.29 cm. Assume that the 10 data collection random variables are iid and normally distributed. Then it follows that T = mu x - mu x / sigma x / squareroot 10 ~ t9. Compute a 95% 2-sided confidence interval estimator for the unknown true mean mu x. Use your result in (a) to compute the CI estimate for this set of data. Assume the \'truth model\' that the act of measuring skull size is X ~ N(mu x = 5.68 , sigma x = 0.29). Use nsim = 10^6 simulations of the data collection variables {Xk}10 k infinity to arrive at a histogram-based pdf for the CI estimator width W Include code and Histogram-based pdf for W

Solution