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.