A farmer estimates that 4% of the 1,400 fruit trees on his farm will fail to produce fruit, with a margin of error of 2.5%. Based on this information, which statements are true? Select all that apply. Because 4% of the fruit trees will fail to produce fruit, the farmer should calculate 4% of 1,400. Then, he should subtract 2.5% of that number to find the low end of the range. He should also add 2.5% to that number to find the high end of the range trees that fail to produce fruit.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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A farmer estimates that 4% of the 1,400 fruit trees on his farm will fail to produce fruit, with a margin of error of 2.5%.

Based on this information, which statements are true?

Select all that apply.

Because 4% of the fruit trees will fail to produce fruit, the farmer should calculate 4% of 1,400. Then, he should subtract 2.5% of that number to find the low end of the range. He should also add 2.5% to that number to find the high end of the range trees that fail to produce fruit.
 
Between 53 and 57 trees can be expected to fail to produce fruit.
 
Because there is a margin of error of 2.5%, the farmer should calculate 2.5% of 1,400 to find the high end of the range of trees that fail to produce fruit. The lowest number of trees that fail to produce fruit is simply 0.
 
Between 0 and 35 trees can be expected to fail to produce fruit.
 
Because there is a margin of error of 2.5%, between 1.5% and 6.5%6.5% of the fruit trees will fail to produce fruit. The farmer should calculate 1.5% of 1,400 and 6.5% of 1,400 to find the range of trees that will fail to produce fruit.
 
Between 55 and 57 trees can be expected to fail to produce fruit.
 
Between 21 and 91 trees can be expected to fail to produce fruit.
 
Because 4% of the fruit trees will fail to produce fruit, the farmer should calculate 4%of 1,400.Then, he should subtract 2.5 trees to find the low end of the range. He also should add 2.5 trees to find the high end of the range of trees that fail to produce fruit.
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