6. Incorrect. The answer is
false not true
The two countries come from population with means μ1 and
μ2 .So we can formulate the test of hypothesis as
follows:
H0: μ1 = μ2
H1: μ1 ≠
μ2
n1 = 600 `x1 = 1,200 s1 = 180
n2= 575 `x2 = 1,300 s2 = 150
Z = (`x1 - `x2 ) / s (`x1 - `x2 )
Z = (600-575)/((1802/600)
+(1502/575))
Z= 2.59
a)
Ztable =
+ 1.96 at 5% level.
Zcalulated > Z table => We reject the
null hypothesis. So, we can conclude that there is a significant difference in
performance of the two countries. With 5% level of significant.
b)
Ztable =
+ 2.58 at 1% level.
Zcalculated > Z table => We reject the
null hypothesis. So, we can conclude that there is a significant difference in
performance of the two countries. With 1% level of significant.