Use the Student's t distribution to find

UkusakazaL
2021-08-01
Answered

Use the Student's t distribution to find

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babeeb0oL

Answered 2021-08-09
Author has **1** answers

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$(1-\alpha )=0.95$

$\alpha =0.05$

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.

Obtain the critical value of t using the student's t distribution to find

The critical value of t is obtained below:

From the information, given that

Obtain the degrees of freedom.

The degrees of freedom is obtained below:

Here, confidence level is 0.95.

For

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.

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