Find from Table IV, Appendix D, for each of the following:

Chapter 6, Problem 109SE

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QUESTION:

Find \(\chi_{\alpha / 2}^{2} \text { and } \chi_{(1-\alpha / 2)}^{2}\) from table IV, Appendix D, for each of the following:

a. n = 10, \(\alpha=.05\)

b. n = 20, \(\alpha=.05\)

c. n = 50, \(\alpha=.01\)

Questions & Answers

QUESTION:

Find \(\chi_{\alpha / 2}^{2} \text { and } \chi_{(1-\alpha / 2)}^{2}\) from table IV, Appendix D, for each of the following:

a. n = 10, \(\alpha=.05\)

b. n = 20, \(\alpha=.05\)

c. n = 50, \(\alpha=.01\)

ANSWER:

Solution:

Step 1 of 3:

  1. The claim is to find  and

We have, n = 10, and  = 0.05

= 0.05, = 0.025

Then, n = 10, df = n - 1

                         = 9

Then,   = 19.023 ( from the chi-square table)

For   =   

                   = 2.700 ( from the chi-square table)

Hence,   = 19.023 and   = 2.700


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