Obtain the critical value of t using the student's t distribution to find \(\displaystyle{t}_{{{c}}}\) for a 0.95 confidence level when the sample is 24.

The critical value of t is obtained below:

From the information, given that \(\displaystyle{n}={24}\).

Obtain the degrees of freedom.

The degrees of freedom is obtained below:

\(\displaystyle{d}{f}={n}-{1}\)

\(\displaystyle={24}-{1}\)

\(\displaystyle={23}\)

Here, confidence level is 0.95.

For \(\displaystyle{\left({1}-\alpha\right)}={0.95}\)

\(\displaystyle\alpha={0.05}\)

Step 2

Use EXCEL Procedure for finding the critical value of t.

Follow the instruction to obtain the critical value of t:

1.Open EXCEL

2.Go to Formula bar.

3.In formula bar enter the function as“=TINV”

4.Enter the probability as 0.05.

5.Enter the degrees of freedom as 23.

6.Click enter

EXCEL output:

From the EXCEL output, the critical value of t at the 0.95 confidence level with the 23 degrees of freedom is 2.069.

Thus, the critical value of t is 2.069.