Question

T-HE The Z-score for the sampling distribution is given by z Find z when 01 I = 21, Hz 14, z = 23, and n = 121. Give your answer as a fully reduced fraction.

Answer 1

The z- score is given by,

T- o 'n

Here the values are given by

21. = 14,0 = 23, n = 121

$\therefore z=\frac{21-14}{\frac{23}{\sqrt {121}}}$

$\therefore z=\frac{7}{\frac{23}{11}}$

$\therefore z=\frac{7\times 11}{23}$

$\therefore z=\frac{77}{23}$

The z-score is 77/23