The estimate of the common variance given by (i)is unbiased under the null hypothesis, but (ii) estimates the common variance under the alternative hypothesis. The estimate of the common variance given by (iii) is always (iv), whether or not there is a population/treatment effect.

HI your question is incomplete attached to the answer is an image of the complete question

i) MSG

II) OVER

III) MSE

IV) UNBIASED

Explanation:

MSG ( ) : this is calculated by taking the sample variance of the sample distribution of the mean for every group involved with the test and it unbiased under the null hypothesis alone

while MSE is gotten from using the sample mean of the sample variances of each group involved with the test  and it is always unbiased whether or not there is a population / treatment effect

levels of production can be increased by technology while holding labor and capital constant, because increased technology makes the production process more efficient. subsequently, the lras curve is almost a vertical line, that can shift to the right, with an increase in technology.

the relationship between the lras curve and the ppc is that both can make the economy could grow. the ppc achieves that when it shifts outward because of more resources or technological advances while the lras curve shifts if more resources are developed or if there are technological advances.

the lras curve is a vertical line at an output level that represents the number of goods and services a nation can produce over a sustained period using all of its productive resources as efficiently as possible with all of the current technology available to it.

the production possibilities frontier (ppf) is a graphical device that is used for economic analysis of production decisions because the ppf measures the maximum possible combinations of two goods that an economy is capable of producing with its currently available resources and technology.

it is a better alternative