Concept explainers
a)
To find fraction of kindergarten kids should the company expect to be less than 3 feet tall.
a)
Answer to Problem 45E
The 11.12% of kindergarten kids should the company expected to be less than 3 feet tall.
Explanation of Solution
Given:
Using z-score,
Hence, 11.12% of kindergarten kids should the company expected to be less than 3 feet tall.
b)
To find the percent of middle 80% of kindergarteners.
b)
Answer to Problem 45E
The middle 80%of kindergarteners are expected to be between 35.896 and 40.504 inches.
Explanation of Solution
Given:
Middle 80% values mean we need to find z-scores corresponding to a probability of 0.1 or 0.9.
P(-z
So, z =
Therefore,
Hence, the middle 80% of kindergarteners are expected to be between 35.896 and 40.504 inches.
c)
To find the biggest 10% of kindergarteners.
c)
Answer to Problem 45E
The biggest 10% of kindergarteners are expected to be more than 40.504 inches tall.
Explanation of Solution
Given:
The biggest 10% means z corresponding to probability of 90%
P(Z< z) = 0.90
So, z = 1.28
Therefore,
Hence, the biggest10% of kindergarteners are expected to be more than 40.504 inches tall.
Chapter 6 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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Statistics: The Art and Science of Learning from Data (4th Edition)
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Basic Business Statistics, Student Value Edition (13th Edition)
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