Question

Determine the t critical value for a lower or an upper confidence bound in each of the following situations. (Round your answers to three decimal places.)

(a) Confidence level =95%,df=10
(b) Confidence level =95%,df=20
(c) Confidence level =99%,df=20
(d) Confidence level =99%,n=10 [infinity]
(e) Confidence level =97.5%,df=21
(f) Confidence level =99%,n=32

Answer 1

The t critical values for different confidence levels and degrees of freedom are as follows: (a) 2.228, (b) 2.093, (c) 2.861, (d) 3.169, (e) 2.080, (f) 2.704.

Step-by-step explanation:

To determine the t critical value for a lower or upper confidence bound, you need to know the confidence level and the degrees of freedom. Here are the t critical values for each situation:

(a) Confidence level = 95%, df = 10: t critical value = 2.228

(b) Confidence level = 95%, df = 20: t critical value = 2.093

(c) Confidence level = 99%, df = 20: t critical value = 2.861

(d) Confidence level = 99%, n = 10 [infinity]: t critical value = 3.169

(e) Confidence level = 97.5%, df = 21: t critical value = 2.080

(f) Confidence level = 99%, n = 32: t critical value = 2.704