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Notation What does the notation za indicate?

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 4BSC Chapter 6.2

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 4BSC

Problem 4BSC

Notation What does the notation za indicate?

Step-by-Step Solution:

Answer:

Step 1:

              is the value for which the area underneath the standard normal curve to the right of the value is equal to ‘’.

 The z-score needed to reject  is called the critical value for significance. The critical value depends on the significance level, which we state as α.

      Each type of alternative hypothesis has it’s own critical values:

  •  "One-sided left-tailed test.
  •  "One-sided right-tailed test.
  •  "Two-sided test.  
  1.  Significance level of 0.05 "One-sided left-tailed test

                     :μ<μ0

             Critical value is  z = -1.645.

     2). Significance level of 0.05 "One-sided right-tailed test

                   :μ>μ0

           Critical value is  z =1.645.

     3). Significance level of 0.05 "Two-sided test

                :μ≠μ0    (two critical values)

     Critical values are  z = -1.96 and z =1.96.

Step 2 of 1

Chapter 6.2, Problem 4BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Notation What does the notation za indicate?