In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 52 acres. Suppose we randomly survey 37 farmers from 1940. Part (a) In words, define the random variable X. the number of U.S. farms the number of square feet of a U.S. farm the number of animals on a U.S. farm the number of acres of a U.S. farm Correct! The random variable of interest is the size of a U.S. farm, in acres. Part (b) In words, define the random variable X. the average number of farms in each state in the United States the average number of animals on a U.S. farm the average number of acres of a farm in the sample of 37 farmers the average number of square feet of a farm in the sample of 37 farmers Correct! The random variable of interest is the size of a farm, in acres. E Part (c) Give the distribution of X. (Round your standard deviation to two decimal places.) 174 8.55 E 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.) 174.00 acres (smaller value) 186.00 acres (larger value)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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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 52 acres. Suppose we randomly survey 37 farmers from 1940.

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.)

In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 52 acres. Suppose we randomly survey 37 farmers from 1940.
Part (a)
In words, define the random variable X.
the number of U.S. farms
the number of square feet of a U.S. farm
the number of animals on a U.S. farm
the number of acres of a U.S. farm
Correct! The random variable of interest is the size of a U.S. farm, in acres.
Part (b)
In words, define the random variable X.
the average number of farms in each state in the United States
the average number of animals on a U.S. farm
the average number of acres of a farm in the sample of 37 farmers
the average number of square feet of a farm in the sample of 37 farmers
Correct! The random variable of interest is the size of a farm, in acres.
E Part (c)
Give the distribution of X. (Round your standard deviation to two decimal places.)
174
8.55
E 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.)
174.00 acres
(smaller value)
186.00 acres
(larger value)
Transcribed Image Text:In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 52 acres. Suppose we randomly survey 37 farmers from 1940. Part (a) In words, define the random variable X. the number of U.S. farms the number of square feet of a U.S. farm the number of animals on a U.S. farm the number of acres of a U.S. farm Correct! The random variable of interest is the size of a U.S. farm, in acres. Part (b) In words, define the random variable X. the average number of farms in each state in the United States the average number of animals on a U.S. farm the average number of acres of a farm in the sample of 37 farmers the average number of square feet of a farm in the sample of 37 farmers Correct! The random variable of interest is the size of a farm, in acres. E Part (c) Give the distribution of X. (Round your standard deviation to two decimal places.) 174 8.55 E 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.) 174.00 acres (smaller value) 186.00 acres (larger value)
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