Concept explainers
(a)
To find: the valuez from the standard
(a)
Answer to Problem 52E
The value of z corresponding to 63rdpercentile is 0.33.
Explanation of Solution
Given:
The 63rd percentile.
Calculation:
We are supposed to find the value of z that satisfy the following conditions.
We are supposed to find the value of z corresponding to 0.63
Here 63 percentile indicates that 63% of observations are below the value of 0.63. Using the following standard normal table, we can find the value of z corresponding to 0.63.
From the above table, we can see that the value of z corresponding to 0.63 is 0.33.
The following graph illustrates 63rd percentile along with the corresponding z value as follows:
Hence, the value of z corresponding to 63rd percentile is 0.33.
Conclusion:
Hence, the value of z corresponding to 63rd percentile is 0.33.
(b)
To find: the valuez from the standard Normal distribution
(b)
Answer to Problem 52E
The value of z such that 75% observations are above zis -0.67.
Explanation of Solution
Given:
75% of all observations are greater than z.
Calculation:
We are supposed to find the value of z such that 75% of all observations are greater than z.
If 75% of observations are above z values, it means that there exists 25% of observations are below z.
From the above table, we can observe that the value corresponding to approximated value of 0.25 is -0.67.
Hence, the value of z such that 75% observations are above zis -0.67.
Conclusion:
Hence, the value of z such that 75% observations are above zis -0.67.
Chapter 2 Solutions
The Practice of Statistics for AP - 4th Edition
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