Kindergarten Companies that design furniture for elementary school classrooms produce a variety of sizes for kids of different ages. Suppose the heights of kindergarten children can be described by a Normal model with a mean of 38.2 inches and standard deviation of 1.8 inches. a) What proportion of kindergarten kids should the company expect to be less than 3 feet tall (36 inches)? (three decimal places) b) What percent of kindergarteners are expected to be between 36 inches and 42 inches tall? % (round to one decimal place) c) At least how tall are the biggest 10% of kindergarteners? (to the nearest half-inch) d) Find the z-score for a 36 inch kindergartner. (round to two decimal places)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Kindergarten Companies that design furniture for elementary school classrooms produce a variety of sizes for kids
of different ages. Suppose the heights of kindergarten children can be described by a Normal model with a mean of
38.2 inches and standard deviation of 1.8 inches.
a) What proportion of kindergarten kids should the company expect to be less than 3 feet tall (36 inches)?
(three decimal places)
b) What percent of kindergarteners are expected to be between 36 inches and 42 inches tall?
% (round to one decimal place)
c) At least how tall are the biggest 10% of kindergarteners?
(to the nearest half-inch)
d) Find the z-score for a 36 inch kindergartner.
(round to two decimal places)
Questionn 7
Transcribed Image Text:Kindergarten Companies that design furniture for elementary school classrooms produce a variety of sizes for kids of different ages. Suppose the heights of kindergarten children can be described by a Normal model with a mean of 38.2 inches and standard deviation of 1.8 inches. a) What proportion of kindergarten kids should the company expect to be less than 3 feet tall (36 inches)? (three decimal places) b) What percent of kindergarteners are expected to be between 36 inches and 42 inches tall? % (round to one decimal place) c) At least how tall are the biggest 10% of kindergarteners? (to the nearest half-inch) d) Find the z-score for a 36 inch kindergartner. (round to two decimal places) Questionn 7
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