**6. Correct. The answer is
false.**

The two countries come from population with means μ_{1 }and_{
}μ_{2}. So we can formulate the test of hypothesis as
follows:

H_{0}: μ_{1 }= μ_{2}

H_{1:} μ_{1 }≠
μ_{2}

_{ }

n_{1} = 600 `x_{1} = 1,200 s_{1} = 180

n _{2}= 575 `x_{2} = 1,300 s_{2} = 150

Z = (`x_{1 }-_{ }`x_{2} ) / s (`x_{1 }-_{ }`x_{2} )

Z = (600-575)/((180^{2}/600) +(150^{2}/575))

Z= 2.59

a)
Z_{table}
= __+__ 1.96 at 5% level.

Z_{calulated} > 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)
Z_{table}
= __+__ 2.58 at 1% level.

Z_{calculated} > 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.