Question

The data in the accompanying tables are measurernents of the latent heat of fusion of ice taken from Experimental Statistics (NRS Handbook 91] by M.G. Natrella. The measurements were madeon specimens cooled to-0.072 degree Cesius) using two different methods. The irst was an electrical method, and the second was a method of mixtures. The units are calories per gram of mass. (a Make slde-by-slde boxplots for comparing the two measurements methods. Does there appear to be any Important difference In the preclslon of the two methods? Is It falr to say that at least one of the methods must be somewhat Inaccurate? Explaln. Method A (Electrical) Method B (Mixtures) 79.90 00.02 90.04 79.94 79.98 80.04 79.97 80.03 79.97 50.03 60.03 50.04 79.95 79.97 79.97 80.05 80.03 80.02 80.00 50.02 (t») tmipute and compare the sample means aric he sam le standard ( eva,ticris fr he wi] trit htu s Htware thet t:ompar Barıs ㅁ the e numer ıca quantities already evo ent cri cur plot in

Answer 1

a. The side by side box plots are as follows

Boxplot of Method A, Methhod B 80.06 80.04 80.02 80.00 g 79.98 79.96 79.94 79.92 79.90 Method A MethhodB

From the boxplots it is evident that Method B is more precise than Method A because there is a presence of an outlier in Method A, which increases its spread.

b. Mean of Method A

= 80.015

Standard deviation of Method A

= 0.0401

Mean of Method B

= 79.979

Standard Deviation of Method B

= 0.0314

These standard deviation of method A is higher which indicates that Method A values are more dispersed than those of Method B. This was also clear from the boxplot.