In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 59 acres. Suppose we randomly survey 41 farmers from 1940.Part (a)In words, define the random variable X.the number of square feet of a U.S. farmthe number of U.S. farms the number of animals on a U.S. farmthe number of acres of a U.S. farmPart (b)In words, define the random variable X.the average number of acres of a farm in the sample of 41 farmersthe average number of square feet of a farm in the sample of 41 farmers the average number of farms in each state in the United Statesthe average number of animals on a U.S. farmPart (c)Give the distribution of X. (Round your standard deviation to two decimal places.)X ~ , Part (d)The middle 50% of the distribution for X, the bounds of which form the distance represented by the IQR, lies between what two values? (Round your answers to two decimal places.) acres (smaller value) acres (larger value)

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Description: In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 59 acres. Suppose we randomly survey 41 farmers from 1940.Part (a)In words, define the random variable X.the number of square feet of a U.S. farmthe numb

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 59 acres. Suppose we randomly survey 41 farmers from 1940.

Part (a)

In words, define the random variable X.
the number of square feet of a U.S. farmthe number of U.S. farms the number of animals on a U.S. farmthe number of acres of a U.S. farm
Part (b)

In words, define the random variable
X.

the average number of acres of a farm in the sample of 41 farmersthe average number of square feet of a farm in the sample of 41 farmers the average number of farms in each state in the United Statesthe average number of animals on a U.S. farm
Part (c)

Give the distribution of
X.
(Round your standard deviation to two decimal places.)

X
~

,
Part (d)

The middle 50% of the distribution for
X,
the bounds of which form the distance represented by the IQR, lies between what two values? (Round your answers to two decimal places.)

acres (smaller value)

acres (larger value)

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