Ill] liilr<nlii<-ti'ni XX 



Or, in our pivsnii illn.st rat inn, 



This is most easy to compute by aid of the logarithms of the F-funcii 

 provided by E. S. Pearson*. We have 



log ^45= 138-171,935,7900 - 56077,811,8611 



468-609,368,7056 363-413,618,0802 



198-825,393,8472 109-394,611,7241 



540-823,612,0668 56'077,811,8611 



1346-430,310,4096 765-600,228,5067 



- 1350-564,082,0332 



= 5-866,228,3764. 



Hence u^ = -00007,349002 .............................. (xi). 



We have now to substitute (ix) in the series of formulae in (v). We find 



and '" = ^325,98742, 



P / 45 x 75 47 x 197 /33T5 

 V 46x196 X 44x74 ~V 9016 X 



'3375 9259 

 9016 X 3256' 

 and Iog 10 # = -013,5697,810; \og e R = '03124,55754. 



1 log 10J R 2 -02713,95621 



Hence -I=T^ - = ^o7^ -^ = -06249,11511, 



-2 i . -43429,44819 



or -=-24998,23016, <r = 4-00028,31944, 



cr 



and what is needful 



- 4 = -00390,51440, 



42674,01258 

 10 & - " -43429,44819- = ' - 98260 ' 54523 ' 



ci = - log e QR = + -95135,98769. 

 Whence we have 



Xl = do- = 3-80570,89274, x = 14-48342,04401, xf = 209-76946,76447. 

 We have next to find -fy from the above values 



^ = -5 + y^ -95135,98769 {1 - -01196,02027 + -00012,38725} 



= 57834,16056 (xii). 



It now remains to find from the normal curve when 



** 



xt = 3-80570,89274. 



* Tracts for Computers, No. vm. Cambridge University Press. In this particular case of coarse 

 the logarithms might be cut down at once to seven figures. 



