Question

Find the critical value.

Determine the critical value for a right-tailed test of a population mean at the a = 0.005 level of significance with 28 degrees of freedom.

Answer 1

Answer:

The degrees of freedom are given by $df = n-1 = 28$

And since we are conducting a right tailed test we need to find in the right tail of the t distribution with 28 degrees of freedom a value who accumulates $\alpha=0.005$ and we got:

$t_{cric}= 2.763$

Step-by-step explanation:

For this case we are assuming a right tailed test for a parameter, let's say $\mu$

The system of hypothesis for this case are:

Null hypothesis: $\mu \leq \mu_o$

Alternative hypothesis: $\mu > \mu_o$

Where $\mu_o$ is the value to check

The degrees of freedom are given by $df = n-1 = 28$

And since we are conducting a right tailed test we need to find in the right tail of the t distribution with 28 degrees of freedom a value who accumulates $\alpha=0.005$ and we got:

$t_{cric}= 2.763$