Question

Question Help The trend of thinner beauty pageant winners has generated charges that the contest encourages unhealthy diet habits among young women. Listed below are body mass indexes (BM) for beauty pageant winners from two different time periods. Find the coefficient of variation for each of the two sets of data, then compare the variation BMI (from the 1920s and 1930s): 20.5 218 22.1 22.3 20.2 .9 18.8 10.5 18.5 10.1 BMI (from recent winners): 19.5 20.3 19.0 20.3 17.9 17.9 19.1 18.7 17.7 10.7 % The coefficient of variation for the BMI's of beauty pageant winners from the 1920s and 1930s is (Round to one decimal place as needed.) % The coefficient of variation for the BMI's of recent beauty pageant winners is (Round to one decimal place as needed) Is there a difference in variation between the two data sets? O A OB O C There is no significant difference in the variations The BMI's of recent beauty pageant winners have considerably less variation than the BMI's of winners from the 1920s and 1930s. The BMI's of beauty pageant winners from the 1920s and 1930s have considerably less variation than the BMI's of recent winners

Answer 1

BMI (from 1920's and 1930's) 20.5 21.8 221 2203 2002 18.9 18.8 19.5. 18.5 19.1 BMI (from rulent minners) 19:5 167 20.3 19.6 20.3. 17.9 17.919-L 16.7 177

G Co-efficient of variation for BMI (from 1920-1930).- T GC-5)= G-20017 Gm 20.5 . 0.33 * 0:1089 21:8 1.63 2.6569 22:1 1.93 3-7249 22:3 2:13: 4.5369 2002 0-03 0:0009 1027 16129 - 1:37 2.8769 -0.67 0.4489 -1.67 2.7889 -1.07 1.1449 E-2017 522-7) 18.49649 n = 10 18.9 18.8 -19.5 18.5 | 18-49699 IO mean, Ex » 2017 20.17. o standard deviation - 2017) - V n o 7-85- CV I X100=% -1.85 too slev: 9-17% 2017

wher Co-efficient of variation far BMI( from recent wine 2) 2G-18:47) IG-5 19:5 0.73 0.5329 20.3 753 2.3409 19.6 0.83 0:6889 2013 1.53 2.3409 17:9 -0.87 0.7569 17.9 -0.87 0.7569 19.1 10:33 0.1089 18.7 -0-07 0.0049 17.7 -107 Je 1449 16.7 -2007 4:2849 EX=1877 E T : 12.961 1:10. Mean, az En 187.7 521877 o, Standard deviation 2 2057 V n. - 1296 112.90 v. 10. fv = $100% 1.296 2100 1877 6.90 %

Page The co-efficient of variation for BMI's of beauty pageant winners from the 1920's and 1930's I's Lev de 17% The co-efficient al variation for bmit af vecent beauty pageant winner is - ev-Ge 90% 3 yes, there is a difference in variation between the two data sets because. BMI (from 1920's and 1985) (tov of BMI af from vrecent winners) | So, the aption B is carrect) B. The BMI's af recent beauty pageant winners have considerably dess variation then the BMI's a winners from the 1920s and 1930's