what score will divide 45 of the scores from the bottom 55 r

what score will divide 45% of the scores from the bottom 55% round to nearest whole # if means =75 and standard deviation is =11
what score will divide 45% of the scores from the bottom 55% round to nearest whole # if means =75 and standard deviation is =11
what score will divide 45% of the scores from the bottom 55% round to nearest whole # if means =75 and standard deviation is =11

Solution

First, we get the z score from the given left tailed area. As          
          
Left tailed area =    0.55      
          
Then, using table or technology,          
          
z =    0.125661347      
          
As x = u + z * s,          
          
where          
          
u = mean =    75      
z = the critical z score =    0.125661347      
s = standard deviation =    11      
          
Then          
          
x = critical value =    76.38227482 = 76 [ANSWER]      

 what score will divide 45% of the scores from the bottom 55% round to nearest whole # if means =75 and standard deviation is =11 what score will divide 45% of

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