Concept explainers
(a)
To find: the valuez from the standard
(a)
Answer to Problem 51E
The value of z corresponding to 10thpercentile is -1.28.
Explanation of Solution
Given:
The 10th percentile.
Calculation:
To find the z-score that corresponds to 10' percentile find the z-score that corresponds toan area 0.10 by locating 0.10 in the Standard Normal probabilities table. The values at the beginning of the corresponding row and at the top of the corresponding column give the z-score.
From the Standard Normal probabilities table, the area closest to 0.10 in the table is 0.1003(z =-1.28).
So, the z-score (approximately) that corresponds to an area of 0.10 is -1.28.
The following graph illustrates 10th percentile along with the corresponding z value as follows:
Hence, the value of z corresponding to 10th percentile is -1.28.
Conclusion:
Hence, the value of z corresponding to 10th percentile is -1.28.
(b)
To find: the valuez from the standard Normal distribution
(b)
Answer to Problem 51E
The value of z such that 34% observations are above z is 0.41.
Explanation of Solution
Given:
34% of all observations are greater than z.
Calculation:
We are supposed to find the value of z such that 34% of all observations are greater thanz .
If 34% of observations are above z values, it means that there exists 66% of observations are below z.
From the Standard Normal probabilities table, the area closest to 0.66 in the table is 0.6591
( z =0.41).
So, the z-score (approximately) that corresponds to an area of 0.66 is 0.41.
The result is shown in the below graph.
Hence, the value of z such that 34% observations are above z is 0.41.
Conclusion:
Hence, the value of z such that 34% observations are above z is 0.41.
Chapter 2 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Introductory Statistics (10th Edition)
Statistics: The Art and Science of Learning from Data (4th Edition)
Intro Stats, Books a la Carte Edition (5th Edition)
Elementary Statistics
Basic Business Statistics, Student Value Edition (13th Edition)
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