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Find the value of tn-1,? needed to construct an upper or

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 2E Chapter 5.3

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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1
Problem 2E

Problem 2E

Find the value of tn-1,α needed to construct an upper or lower confidence bound in each of the situations in Exercise 1.

Step-by-Step Solution:

Answer:    

Step 1 of 5: 

          Here we have to find the value of needed to construct an upper or lower confidence bound in each of the given level with the given sample size in exercise 1.

Step 2 of 5: 

a).  Given that the confidence level is 90% and the sample size is n = 12.

        Then,

                   % = 90% =

                       

                      (1 - 0.9) = 0.1

                    Therefore,

                             The level of significance

                    And the degrees of freedom, DF = n - 1

                                                                         = 12-1

                                                                         = 11

            Therefore, the critical value of ‘t’ is

                      ( This value from statistical table, 11th row and 0.1 column)

       Then,

                  Lower bound < t < upper bound  

               

                          -1.363 < t < 1.363

                 

Step 3 of 5: 

b).  Given that the confidence level is 95% and the sample size is n = 7.

        Then,

                   % = 95% =

                       

                      (1 - 0.95) = 0.05

                    Therefore,

                             The level of significance

                    And the degrees of freedom, DF = n - 1

                                                                         = 7-1

                                                                         = 6

            Therefore, the critical value of ‘t’ is

                      ( This value from statistical table, 6th row and 0.05 column)

       Then,

                  Lower bound < t < upper bound  

               

                          -1.943 < t < 1.943

                 

Step 4 of 5

Chapter 5.3, Problem 2E is Solved
Step 5 of 5

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

This full solution covers the following key subjects: Bound, confidence, construct, exercise, Find. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 2E from chapter: 5.3 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Since the solution to 2E from 5.3 chapter was answered, more than 248 students have viewed the full step-by-step answer. The answer to “Find the value of tn-1,? needed to construct an upper or lower confidence bound in each of the situations in Exercise 1.” is broken down into a number of easy to follow steps, and 22 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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