Question

14 points BBUNDERSTAT12 6.TB.081. a sample with M = 60 and 5 = 6, find the X value corresponding to each of the following Z-scores. (a) z = +1.50 (b) z = -0.50 (c) z = +2.00 (d) z = -1/3 Need Help? Read it 1/1 points Previous Answers | BBUNDERSTAT12 6.T8.085. score of 1.50 distribution is located in the tail beyond a

Answer 1

Solution :

Given that,

mean = M = 60

Sample standard deviation = S = 6

a ) z = 1.50

Using z-score formula,

X = z * S + M

= 1.50 * 6 + 60

= 69

X = 69

b ) z = -0.50

Using z-score formula,

X = z * S + M

= 1-0.50 * 6 + 60

= 57

X = 57

c ) z = 2.00

Using z-score formula,

X = z * S + M

=2.00 * 6 + 60

= 72

X = 72

d ) z = -0.33

Using z-score formula,

X = z * S + M

= -0.33 * 6 + 60

= 58.02

X = 58.02