Question 477209
The first two are correct.


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# 3


Using the formula {{{z=(x-mu)/sigma}}}, if the z-score is 1, then 



{{{z=(x-mu)/sigma}}}



{{{1=(x-160)/16}}}



{{{1*16=x-160}}}



{{{16=x-160}}}



{{{16+160=x}}}



{{{176=x}}}



{{{x=176}}}



So if x=176, then the z-score is 1.


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# 4


Using the formula {{{z=(x-mu)/sigma}}}, if the z-score is -0.875, then 



{{{z=(x-mu)/sigma}}}



{{{-0.875=(x-160)/16}}}



{{{-0.875*16=x-160}}}



{{{-14=x-160}}}



{{{-14+160=x}}}



{{{146=x}}}



{{{x=146}}}



So if x=146, then the z-score is -0.875.