For a distribution of scores, X = 40 corresponds to a z-score of z = +1.00, and X = 28 corresponds to a z-score of z = –0.50. What are the values for the mean and standard devia…

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asked Jul 24, 2020 26.6k views

1 Answer

Iagreen · Answer 1 · 2020-07-31T01:56:07+0000

Answer

given,

X = 40 z = +1.00,

X = 28 z = -0.50

$Z = (x - \mu)/(\sigma)$

$1 = (40 - \mu)/(\sigma)$

$\sigma =40 - \mu$ ..................(1)

$-0.5 = (28 - \mu)/(\sigma)$

$-0.5\sigma =28 - \mu$ ...............(2)

from equation (1) and (2)

$1.5\sigma = 12$

$\sigma = 8$

from equation (1)

$8 =40 - \mu$

$\mu = 32$