Question 1197223

(a)
 

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

Plug in {{{x = 21}}}, {{{mu = 26}}} and {{{sigma = 5}}}. Compute to find {{{z}}}.

{{{z = (21-26)/(5)}}}


{{{z = (-5)/(5)}}}


{{{z = -1}}}


The {{{z}}} score is {{{z = -1}}}



(b) 


Find the {{{z }}} score corresponding to {{{x = 40}}}.

{{{z = (40-26)/(5)}}}


{{{z = 14/5}}}


{{{z = 2.8}}}


The {{{z}}} score is {{{z = 2.8}}}


(c) 


Find the raw score corresponding to {{{z = -2}}}.

{{{-2 = (x - 26) / 5}}}

{{{-10 = x - 26}}}

{{{26-10=x}}}

{{{x=16}}}



(d) Find the raw score corresponding to {{{z = 1.1}}}.


{{{1.1 = (x - 26) / 5}}}

{{{5.5= x - 26}}}

{{{26+5.5=x}}}

{{{x=31.5}}}