Find the value represented by a z-score of 2.403, given \$\mu\$ = 63 and \$\sigma\$ = 4.25

z-score = 2.403 , \$\mu\$ = 63 , \$\sigma\$ = 4.25

z-score = \$\frac{x- \mu}{\sigma}\$

Put z-score = 2.403 in the formula

2.403 = \$\frac{x- \mu}{\sigma}\$

Then substract the mean by substitution

2.403 = \$\frac{x- 63}{\sigma}\$

Divide the obtained value by standard deviation \$\sigma\$ = 4.25

2.403 = \$\frac{x- 63}{4.25}\$

simplify the equation to find the x value

2.403 × 4.25 = \$x-63\$

Move \$x\$ to left hand side to obtain the value

\$x\$ = 10.23+63 = 73.23

Answer

B