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Get Full Access to Elementary Statistics - 12 Edition - Chapter 6.2 - Problem 28bsc
Get Full Access to Elementary Statistics - 12 Edition - Chapter 6.2 - Problem 28bsc

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# Standard Normal Distribution. In Exercises, | Ch 6.2 - 28BSC ISBN: 9780321836960 18

## Solution for problem 28BSC Chapter 6.2

Elementary Statistics | 12th Edition

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Problem 28BSC

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.

Between − 1.93 and − 0.45

Step-by-Step Solution:

Step 1 :

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(-1.93 < Z < -0.45) = P(Z < -0.45) - P(Z < -1.93)

Area under normal curve can be calculated by using standard normal table or statistical table that is

P(z < -0.45) = 0.3264 (i.e, row -0.4 under column 0.05)

P(z < -1.93) = 0.0268(i.e, row -1.9 under column 0.03)

then

= 0.3264 - 0.0268

= 0.2996

Step 2 of 1

##### ISBN: 9780321836960

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