Question

The t value for a 95% confidence interval estimation with 24 degrees of freedom

Answer 1

Answer:

c. 2.063899

Step-by-step explanation:

Assuming a confidence interval bilateral.

For this case the confidence is 95% so then the significance level is:

$\alpha = 1-0.95 =0.05$

And $\alpha/2 = 0.025$

The degrees of freedom are given $df = 24 =n-1$

So then we need to find a quantile on the t distribution with 24 degrees of freedom that accumulates 0.025 of the area on each tail, and we can use the following excel code:

"=T.INV(1-0.025,24)"

Or equivalently "=T.INV.2T(0.05,24)"

And we got $t_{crit}= 2.062899$

So the best option is:

c. 2.063899