Question

4. A random sample of babies born at a Glasgow maternity hospital was investigated in a study of health and development through early infancy. All the children studied were singleton births in other words, there were no twins, triplets, etc.). The data listed below are the childrens Head Circumferences (in centimetres) at birth. Boys: 34.0 34.5 35.0 35.5 36.0 36.0 36.0 36.2 36.8 36.9 37.0 37.3 Girls: 32.2 33.0 34.0 34.0 34.0 34.0 34.4 34.9 35.5 36.6 (a) Use the Mann Whitney U Test to test the hypothesis that the population median Head Circumference is the same for boys and girls born in Glasgow. (8 Marks) (b) Write down the assumptions of the Mann Whitney U Test and discuss whether they appear reasonable in this context. [3 Marks]

Answer 1

Date : 2 Boyt 34, 345,35,355, 36, 36, 36.2 368, 369, 37,373 GLEN 32.2 83.0 34, 34, 34, 34 4,3419, 355, 36- cas Mann whitney U test Test Hypothesia Nudd Hypothesis - The childeren head circumference at Birth of giels and body are same alternative Hypothesis in the children Head Creumfaeance of Bigth of Giels and Boys are not same. L X = p = Body Giels children childers Head ciecum Perence at brother Head crecumference of birth Ho : ne fyly) No Mi Rx (0) Fly (4)

Date: combine ordee sequente 16 32.2 34.4 34.9 134.5 35 IBES 136 136.2 36.6 18 36.8 36.9 37-3 24 N=21 where mano of at Body =12 nes no or grey = 9 test Test statestics of mann whitting Z of Neol) zote nina Trinz (Mitnical ninanithat!) 12 Wave

Page Date wherere u e sum 4.5+ of ranks of Boyer g +10+115 +13 414 415 416 418 419 + 2012 a= 171 (L7V - Bar gave (9+12+1 171- 9x6 9x22 1H-56 1 1982 The given Bodys & Giels sandom sample form of babico born at identical population There is a relation Bett Bach go Glado for Helth Devlopment rough incontes They store have identical and salme Brith Dates Decision Here the Leaf & Ztable Litable for 95% = ligt cal = 8.637 1.97 The Children Head circumferene or Bieth ar girl and Boys are not same