6. Correct. The answer is
false.
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
n 2= 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.