5.23 Three training methods were compared to see if they led to greater productivity after train- ing. The productivity measures for individuals trained by different methods are as below: Method 1 36 26 31 20 34 25 Method 2 40 29 38 32 39 34 Method 3 32 18 23 21 33 27 At the 0.05 level of significance, do the three training methods lead to different levels of productivity? 15.20 Three different methods of teaching Statistics are used on three groups of students. Random samples of size 5 are taken from each group and the results are shown below. The grades are on a 10-point scale. Group A Group B Group C VAC IIIIIIS 31 2 sample analysis of examination results of 200 MBAs was made. It was found that 46 students had failed, 68 secured third division, 62 secured second division and the rest were placed in the first division. Are these figures commensurate with the general examination result that is in the ratio of 2:3:3:2 for various categories respectively? 4.30 )The data, given below, relate to the employment pattern of workers in three firms: A, B and C. Firm A B C Unskilled 71 76 33 Skilled manual 50 42 28 Non-manual 79 82 39 Is there a significant difference in the proportions of three types of workers in the three firms? 4.25 in a survey of 200 boys, of whom 75 were intelligent, 40 had skilled fathers; while 85 of the unintelligent boys had skilled fathers. Do these figures support the hypothesis that skilled fathers have intelligent boys? 14 36 Tha lib - - 15.26) Three varieties of wheat, A, B and C, were treated with four different fertilizers, 1, 2, 3 and 4. The yields of wheat per acre were as follows: Varieties of Wheat Fertilizers A B C Total 55 72 47 174 64 66 53 183 A WN - 58 57 74 189 59 57 58 174 Total 236 252 232 720 Perform an analysis of variance on the above data and interpret the results