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Solution: Standard Normal Distribution. In Exercises, find

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

Solution for problem 12BSC 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 12BSC

Standard Normal Distribution. In Exercises 9–12, find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.

Step-by-Step Solution:
Step 1 of 3

Problem 12BSC

Answer:

Step1 of 2:

We have In Exercises, find the area of the shaded region. The graph depicts the standard normal distribution of bone density scores with mean 0 and standard deviation 1.

Step2 of 2:

From the above graph we have P(p < z <q ).

P(p < z <q ) = P(-1.07 < z < 0.67)                    

                    = P(z < q) - P(z < p)

                    = P(z < 0.67) - P(z < -1.07)

area under normal curve can be calculated by using standard normal table or statistical table that is P(z < 0.67) = 0.7486 (i.e, row 0.6 under column 0.07)

  P(z < -1.07) = 0.1423 (i.e, row -1.0 under column 0.07)                    

consider,

P(-1.07 < z < 0.67) = P(z < 0.67) - P(z < -1.07)

                               = 0.7486 - 0.1423

                               = 0.6063.

Therefore, the area of the shaded region is 0.6063.

Step 2 of 3

Chapter 6.2, Problem 12BSC is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

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Solution: Standard Normal Distribution. In Exercises, find