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Standard Normal Distribution. In Exercises, | Ch 6.2 - 21BSC

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

Solution for problem 21BSC 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 21BSC

Standard Normal Distribution. In Exercises 17–36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph and find the probability of the given scores. If using technology instead of Table A-2, round answers to four decimal places.

Greater than 0.82

Step-by-Step Solution:

Answer:

Step 1:

     Assume that a randomly selected subject is given a bone density. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. 

    Given the probability of score is greater than 0.82.

     

   The type of test is determined by the Alternative Hypothesis ( H1 ):

   Right tailed test: 

        parameter > value.

       Decision rule:  Reject H0 if test statistic. > critical value.

         The graph of area under normal curve is given below:

       

     In finding the area under standard normal curve, you can use the statistical tables at the back of your textbook, or use your calculator.

     In using the tables, remember that areas are reported as P(Z < a)

Therefore, you need to use the following relationships

 

         P(Z > a) = 1 - P(Z < a)

        P(a < Z < b) = P(Z < b) - P(Z < a)

     Applying this principles, we get

         P(Z > 0.82) = 1-P(Z<0.82) =  1-0.7939 = 0.2061.

         The value 0.7939 from area under normal curve, here we have to take 0.8  row and 0.02 column. Then we get 0.7939. The shaded region is 0.2061

 

Step 2 of 1

Chapter 6.2, Problem 21BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

The answer to “?Standard Normal Distribution. In Exercises 17–36, assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a graph and find the probability of the given scores. If using technology instead of Table A-2, round answers to four decimal places.Greater than 0.82” is broken down into a number of easy to follow steps, and 64 words. The full step-by-step solution to problem: 21BSC from chapter: 6.2 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. This full solution covers the following key subjects: given, test, standard, scores, mean. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. Since the solution to 21BSC from 6.2 chapter was answered, more than 400 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Elementary Statistics was written by and is associated to the ISBN: 9780321836960.

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Standard Normal Distribution. In Exercises, | Ch 6.2 - 21BSC