Question

Suppose an archaeologist discovers seven fossil skeletons from a previously unknown species of miniature horse. Reconstructions of the skeletons of these seven miniature horses show the shoulder heights (in centimeters) to be                        45.3 47.1 44.2 46.8 46.5 45.5 47.6 For these sample data, the mean is 46.14 and the sample standard deviation is 1.19. Let µ be the mean shoulder height (in centimeters) for this entire species of miniature horse, and assume that the population of shoulder heights is approximately normal.

a) Find the margin of error for a 99% confidence interval for µ. b) Find a 0.99 confidence interval for µ.

Answer 1