Management is concerned that workers create more product defects at the very beginning and end of a work shift than at other times of their eight$-$hour workday. Construct a scatter diagram with the following data collected last week. Is management justified in its belief?

$\backslash$table$[[,$Number of Defects$],[,$Monday,Tuesday,Wednesday,Thursday,Friday$],[\backslash$table$[[$First hour at$],[$work$]],12,9,6,8,7],[\backslash$table$[[$Second hour at$],[$work$]],6,5,3,4,5],[\backslash$table$[[$Third hour at$],[$work$]],5,2,4,3,3],[\backslash$table$[[$Fourth hour at$],[$work$]],4,0,5,2,3],[$Fifth hour at$,,,,,],[$work$,1,6,2,4,5]]$