His cutoff score is 9.5.
A cut-off score is an established score that is used to filter out applicants who do not qualify in a particular test or assessment. In the employment test, a cut-off score can be set to filter out candidates who do not score high enough on a particular pre-employment test.
A cut-off score is an established score used to filter out applicants who do not qualify for a particular test or assessment. In the employment test, a cut-off score can be set to filter out candidates who do not score high enough on a particular pre-employment test.
Assuming this follows normal distribution we have
X N( =10, =2 )
z-score = T =(X - 10) / 2
The lowest 40% means the score 'x' below which 40% of the data lies.
P(X < a) = 40% ........in probabiliy form
P(X > -a) = 40%
We use normal percentage tables for this. The tables provide value for greater than 'z' so our sign is proper and for 'p < 50%' so that is appropriate as well. If they weren't we would have to rearrange.
Note: If using the normal probability then you need less than '<' & p > 50%
P( X > -a) = 40%
P(Z > -(a - 10)/2) = 40%
z-score = 0.2533
-(a - 10)/2 = 0.2533
a = 9.4933
Hence, the cutoff score is = 9.5
Learn more about cutoff score here:-https://brainly.com/question/14830095
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