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Get Full Access to Elementary Statistics - 12 Edition - Chapter 6.2 - Problem 36bsc
Get Full Access to Elementary Statistics - 12 Edition - Chapter 6.2 - Problem 36bsc

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# Standard Normal Distribution. In Exercises, | Ch 6.2 - 36BSC

ISBN: 9780321836960 18

## Solution for problem 36BSC Chapter 6.2

Elementary Statistics | 12th Edition

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Problem 36BSC

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.

Less than 0

Step-by-Step Solution:

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 less than 0.

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

Left 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) = 0.5000.

This value from area under normal curve, here we have to take ‘0’ row and ‘0’ column. Then we get 0.5000. The shaded value is 0.5000.

Step 2 of 1

##### ISBN: 9780321836960

Since the solution to 36BSC from 6.2 chapter was answered, more than 407 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 36BSC from chapter: 6.2 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. 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. 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.Less than 0” is broken down into a number of easy to follow steps, and 64 words. This full solution covers the following key subjects: given, test, standard, scores, instead. This expansive textbook survival guide covers 121 chapters, and 3629 solutions.

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