Question: The statistics lecture room is divided into three sections: front, middle, and back. The instructor noticed that the further the students were from her, the

The statistics lecture room is divided into three sections: front, middle, and back. The instructor noticed that the further the students were from her, the more likely they were to miss class, arrive late or text during class. She wanted to see if the students who sit further away did worse on tests so she took a random sample of students from each section and recorded their percentage mark on the second test. Percentage Mark on Second Test Front Middle Back (6 numbers) 8 numbers) 7 numbers) 81 83 38 83 78 59 97 68 60 93 85 78 59 77 45 67 54 51 69 75 70 Average 80 73 58 (a) Calculate the grand (overall) mean. [2 marks] Grand Mean (b) Calculate SSB. [3 marks] SSB (c) Just calculate the contribution to SSW from the 'Front' group and use the results given for the other two to calculate the value of SSW. [3 marks] x X Front X - XFront Front Middle Back 81 83 97 93 59 67 Total 696 1,312 SSW =

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