On a standard measure of hearing ability the mean is 300 and the standard deviation...

Jaeden Frederick

Jaeden Frederick

Answered

2022-01-27

On a standard measure of hearing ability the mean is 300 and the standard deviation is 20. What is the z-score for a person who scores 310?

Answer & Explanation

lilwhitelieyc

lilwhitelieyc

Expert

2022-01-28Added 10 answers

You can find the z-score using the formula
z=xμσ
Hence for x=310 ,u=300, sigma=20 we have that
z=31030020=1020=12
enveradapb

enveradapb

Expert

2022-01-29Added 13 answers

Z score for someone with 310:
It is simply how many units of "20" the persion deviates from the mean "300". The person who scores 310 deviates two standard deviations of "20" from the mean.
31030020=0.5

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