Question

Holding everything else constant, increasing sample size __________.

	a.	decreases standard error
	b.	increases the magnitude of the t statistic
	c.	increases degrees of freedom
	d.	All of the other options are consequences of increasing sample size.

Answer 1

According to the problem we have given a sample of size n, then we will Asked to find the below,

Sample test statistic,

Where Standards error =

The above test statistic will follow t-distribution with df=n-1

Hence, we notice that if we increase sample size n then SE will automatically decreased.

As the sample size increase then magnitude of t-statistic will increase.

Also the df=n-1 will increase if sample size n increases.

So all the above 3 conditions are correct.

Hence option D is correct