Question

The results of a mathematics placement exam at two different campuses of Mercy College follow:

Campus	Sample size	Mean	Population Std. Deviation
1	1,552	32	16
2	298	29	14

What is the computed value of the test statistic?

1.7

3.3

9.9

2.3

Answer 1

Solution:

Given that,

= 32

= 29

= 16

= 14

n₁ = 1552

n₂ = 298

The test statistic

z = ( - ) / ( / n₁) + ( / n₂ )

= ( 32 - 29 ) / ( 16²/1552) + ( 14² / 298)

= 3.3

The computed value of the test statistic is 3.3