Question

What are the degrees of freedom for Student's t distribution when the sample size is 16? d.f. = Use the Student's t distribution to find tc for a 0.95 confidence level when the sample is 16. (Round your answer to three decimal places.) A button hyperlink to the SALT program that reads: Use SALT.

Answer 1

Answer:

degrees of freedom = 15

tc= 1.746

Step-by-step explanation:

The degrees of freedom is given by n-1 where n is the sample size .

so the degrees of freedom for a t distribution is 16-1= 15

Now we have to find tc for 95%  confidence interval. For this we look at the t- table under the 1-0.95= 0.05  for alpha for 15 degrees of freedom and the value is 1.746

This area is to  the right side under the t distribution with the given degrees of freedom for the given alpha.

It can also be found out by other calculators such as graphing calculator.

Answer 2

Using the degree of freedom formula and the Tcritical distribution, the degree of freedom and Tcritical value are 15 and 2.131 respectively

Given that :

• Sample size, n = 16

• The degree of freedom , df = n - 1

Hence, the degree of freedom, df = 16 - 1 = 15

The t critical value :

• Confidence level, α/2 = 0.05

Tcritical = $t_{\frac{0.05}{2}}, 15 = 2.131$

Hence, the Tcritical value is 2.131.

Learn more : https://brainly.com/question/16144029