Concept explainers
(a)
To estimate:the 60th percentile of the given distribution.
(a)
Answer to Problem 10E
1000 is the estimate of the 60thpercentile of the lifetimes of 2000 lamps.
Explanation of Solution
Given:
Calculation:
Procedure:
Step1: Draw a horizontal line from the value 60 on the vertical axis and determine the point on the ogive where the line intersects the ogive.
Step2: Draw a vertical line from this point to the horizontal axis. The line intersects the axis at approximately 1000.
From the above graph, 1000 is the estimate of the 60thpercentile of the lifetimes of 2000 lamps.
Conclusion:
Therefore, 1000 is the estimate of the 60thpercentile of the lifetimes of 2000 lamps.
(b)
To find: the percentile for a lamp lasting for 900 hours
(b)
Answer to Problem 10E
A lamp that lasted 900 hours is at 35th percentile.
Explanation of Solution
Calculation:
Procedure:
Step 1: Draw a vertical line from the value 900 on the horizontal axis and determine the point on the ogive where the line intersects the ogive.
Step2: Draw a horizontal line from this point to the vertical axis. The line intersects the axis at approximately 35.
From the above graph, a lamp that lasted 900 hours is at 35th percentile.
Conclusion:
Therefore, a lamp that lasted 900 hours is at 35th percentile.
Chapter 2 Solutions
The Practice of Statistics for AP - 4th Edition
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An Introduction to Mathematical Statistics and Its Applications (6th Edition)
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