Question

The length of skulls of 10fossil skeletons of an extinct species of a bird has mean of 5.68

Answer 1

Answer:

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 iidand normally distributed. Then it follows that T⌢XX⌢X/10~t9. (a)(10pts) Compute a 95% 2-sided confidence interval estimatorfor the unknown true mean, X.2Solution: (b(5pts)Use your result in (a) to compute the CI estimatefor this set of data.Solution: (c)(5pts) Assume the ‘truth model’ that the act of measuring skull size is )29.0,68.5(~XXNX. Use 610nsimsimulations of the data collection variables 101}{kkXto arrive at a histogram- based pdffor the CI estimator width W.[NOTE: Use 50bins.]Solution: See code.Figure 1(c) Histogram-based pdffor