An Introduction to the theory of statistics

Bibliographic data

Monograph

Identifikator:: 1751730271

URN:: urn:nbn:de:zbw-retromon-127610

Document type:: Monograph

Author:: Yule, George Udny http://d-nb.info/gnd/12910504X

Title:: An Introduction to the theory of statistics

Edition:: 8. ed. rev

Place of publication:: London

Publisher:: Griffin

Year of publication:: 1927

Scope:: XV, 422 S; Ill., Diagr

Digitisation:: 2021

Collection:: Economics Books

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ANSWERS, ETC., TO EXERCISES GIVEN. CHAPTER XV. (1) © 1 7 792 12 8 495 66 9 220 220 10 66 495 11:12 . 792 12 1 GU 924 —_ Total, 4096 (2) 0 4594 5 1164 1 1102+6 6.872 r 1212-8 7 47 ¢ 8086 8 6 4 3639 - - Total, 4096-2 3) 0 192 1 288 2 144 3 24 Total, 648 2. The frequency of r successes is greater than that of r—1 so long as r<np+p: if np is an integer, r =np gives the greatest term and also the mean. 3. This follows at once from a consideration of the Galton-Pearson apparatus. Binomial Normal curve, 1 17 10 105 45 427 120 116-1 210 211'5 252 2584 210 2115 ete. ete. 5. The data are //=68'855, 0 =256, y,=1558. 6. (1) United Kingdom—direct 1°75, from standard-deviation 1°73. (2) Cambridge students—direct 168, from standard-deviation 1°73. 7. 70°6 per cent. 8. 27 per cent. 9. (1) In @ 12°4 per cent., b 10 per cent. of the trials, assuming normality, but the assumption is hardly quite valid. (2) a about 13 times in 100,000 trials ; b practically impossible, being a deviation of over 7 times the standard error. 10. 853. 11. Mean 74°3, standard-deviation 3°23, CHAPTER XVI. 3. From equations (10) and (11) replace oy and oy by =; and =, in equation (9). Regarding this as an equation for , note that 7? is a maximum when tan 2 0 is infinite, or §=45°, 405 l

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