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Finding ?, ?, and Unusual Values. In Exercises, assume

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

Solution for problem 6BSC Chapter 5.4

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 6BSC

Problem 6BSC

Finding μ, σ, and Unusual Values. In Exercises, assume that a procedure yields a binomial distribution with n trials and the probability of success for one trial is p. Use the given values of n and p to find the mean μ and standard deviation σ . Also, use the range ruh of thumb to find the minimum usual value μ  2σ and the maximum usual value μ  2 σ.

Gender Selection In an analysis of preliminary test results from the XSORT gender-selection method, 14 babies are born and it is assumed that 50% of babies are girls, so n = 14 and p = 0.5.

Step-by-Step Solution:

Answer :

Step 1 of 2:

Given, In an analysis of preliminary test results from the XSORT gender-selection method, 14 babies are born and it is assumed that 50% of babies are girls, so n = 14 and p = 0.5.

The procedure yields a binomial distribution.

Where, mean = = np = 14(0.5)

                        = 7

Variance = npq

               = (14)(0.5)(0.5)

               = 3.5

Standard deviation =  =

                                = 1.87

Step 1 of 2 :

We have to find the minimum usual value and maximum usual value

i.e , Minimum usual value

          = - 2

           = 7 - 2(1.87)

           = 3.26 are girls

Maximum usual value

          = + 2

           = 7 + 2(1.87)

           = 10.74 are girls

Step 2 of 1

Chapter 5.4, Problem 6BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Finding ?, ?, and Unusual Values. In Exercises, assume