Question

B) The archaeologist discovered only nine fossil skeletons of an unknown species of miniature horse. Reconstructions of the skeletons of these miniature horses show the following shoulder heights; 45.3 47.1 44.2 46.8 46.5 45.5 47.6 45.7 46.4 (a) Estimate the Sample Mean and Sample Standard Deviation. (b) Using student’s t-distribution table, estimate the error E at 95% confidence. (c) Estimate the interval of population mean having 95% confidence level.

Answer 1

Answer:

Given data,

45.3 47.1 44.2 46.8 46.5 45.5 47.6 45.7 46.4

A) sample mean X

45.3 47.1 44.2 46.8 46.5 45.5 47.6 45.7 46.4

__________________________________

9

X =46.1222

Sample standard deviation :-

S= √£(x-x^)

________

n-1

S=1.0462