Question

Find the critical value. Assume that the test is two -tailed and that n denotes the number of pairs of data. n =
20, α = 0.01
A) -0.570
B) 0.570
C) +0.447
D) +0.570

Answer 1

Using a calculator, the critical value for the t-distribution, with a confidence level of 99%, a sample size n = 20 and a two-tailed test is of Tc = 2.8609.

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

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

• The confidence level.

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

• The tail.

In this problem, the inputs are given as follows:

• Confidence level of 99%, as 1 - 0.01 = 0.99 = 99%.

• 19 df, as 20 - 1 = 19.

• Two-tailed test, as stated in this problem.

Hence, using a calculator, the critical value is of is of Tc = 2.8609.

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

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