# Use the Student's t distribution to find t_{c} for a 0.95 confidence level when the sample is 24.

Use the Student's t distribution to find ${t}_{c}$ for a 0.95 confidence level when the sample is 24. (Round your answer to three decimal places.)

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Step 1
Obtain the critical value of t using the student's t distribution to find ${t}_{c}$ for a 0.95 confidence level when the sample is 24.
The critical value of t is obtained below:
From the information, given that $n=24$.
Obtain the degrees of freedom.
The degrees of freedom is obtained below:
$df=n-1$
$=24-1$
$=23$
Here, confidence level is 0.95.
For $\left(1-\alpha \right)=0.95$
$\alpha =0.05$
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.