Question

Find the critical value (t-value) that form the boundaries of the critical region for a two-tailed test with a = 0.05 for a sample size of n1 =11 & n2 =8

Answer 1

Using a calculator, the critical value for the t-distribution with a confidence level of 95% and 17 df is of Tc = 2.1098.

How to find the critical value of the t-distribution?

It is found using a calculator, with two inputs, which are given by:

• The confidence level.

• The number of degrees of freedom, which is one less than the sample size.

In this problem, the inputs are given as follows:

• Confidence level of 95%, as 1 - 0.05 = 0.95.

• 17 degrees of freedom, as there are two samples, one with 11 - 1 = 10 df, and the other with 8 - 1 = 7 df, hence the total df is 10 + 7 = 17.

Hence, using a calculator, the critical value for the t-distribution with a confidence level of 95% and 17 df, using the stated two-tailed test, is of Tc = 2.1098.

More can be learned about the t-distribution at brainly.com/question/27125917

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