Question

(a) Find t 0.025

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when v=10. (b) Find t 0.005
​ when v=19 (c) Find t 0.90
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when v=7 Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution. (a) t 0.025 = (Round to three decimal places as needed.)

Answer 1

To find the values of t for given probabilities and degrees of freedom, we use the table of critical values of the t-distribution.

Step-by-step explanation:

(a) To find t0.025 when v=10, we need to refer to the table of critical values of the t-distribution. Since we are looking for a two-tailed test and a confidence interval of 95%, we can find the value in the table. The table indicates that t0.025 for 10 degrees of freedom is approximately 2.228.

(b) To find t0.005 when v=19, we use the same process. The table shows that t0.005 for 19 degrees of freedom is approximately 2.861.

(c) To find t0.90 when v=7, we refer to the table once again. We find that t0.90 for 7 degrees of freedom is approximately 1.895.