A random sample of 24 ten year old children was randomly divided into four groups in order to study pattern recognition skills. Each child is given a pattern recognition test with 10 patterns to identify. Children in Group 1 were given praise for each correct answer and no comment on wrong answers; Group 2 were given criticism for each wrong answer and no comment for correct answers; Group 3 were given no praise or criticism but the observer expressed interest in what the child was doing; and children in Group 4 were left on their own to complete the test. The number of correct answers given by each child (yij; i = 1, ... 4; j = 1,...6) are presented below. Groups Group 1 9 Group 2 Group 3 2 9 Group 4 5 8 5 3 7 8 4 7 3 9 3 8 6 7 7 4 3 5 6 7 4 ₁₁ = 8 y₂ = 3.5 Ўз = 6.333 Y₁ = 5.333 Page 3 of 6 ΣΣ ΣΣ» = 915 Yij = 139 Assignment Compare the mean of the correct answers of the four groups and state your conclusion clearly