Question 1130372

 Let{{{mu = 160 }}} and {{{delta = 16}}}. (See Example 6.)



(a) Find the z-score for the score {{{180}}}.

let the score be {{{x}}}

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

{{{z=(180-160)/16}}}

{{{z=20/16}}}

{{{z=5/4}}}

{{{z=1.25}}}



(b) Find the z-score for the score {{{130}}}.

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

{{{z=(130-160)/16}}}

{{{z=-30/16}}}

{{{z=-1.875}}}


(c) Find the z-score for the score {{{160}}}.

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

{{{z=(160-160)/16}}}

{{{z=0/16}}}

{{{z=0}}}



(d) Find the score {{{x}}} if the z-score = {{{1}}}.

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

{{{16=x-160}}}

{{{16+160=x}}}

{{{x=176}}}


(e) Find the score {{{x}}} if the z-score ={{{ -0.875}}}.

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

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

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

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

{{{x=146}}}