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Question: If two samples have means of 24 and 28 and standard deviations of 4 and 6, with 12 and 15 as the sizes, find the z score for difference of two population means.


A ) 2.07
B ) 7.73
C ) 1.07
D ) 1.93

Steps to derive

1 X1 = 24, X2 = 28
 [Given data]

2 s1 = 4, s2 = 6

3 n1 = 12, n2 = 15 and μ1 - μ2 = 0

4 The z score value is


5 z = 2.07
 [Substitute the values and simplify]



Hence the right answer is Option

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