K An estimate is needed of the mean acreage of farms in a certain city. A 95% confidence interval should have a margin of error of 19 acres. A study ten years ago in this city had a sample standard deviation of 120 acres for farm size. Answer parts (a) and (b). a. About how large a sample of farms is needed? n= (Round up to the nearest integer.) b. A sample is selected of the size found in (a). However, the sample has a standard deviation of 220 acres rather than 120. What is the margin of error for a 95% confidence interval for the mean acreage of farms? m= (Round to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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K
An estimate is needed of the mean acreage of farms in a certain city. A 95% confidence interval should have a margin of error of 19 acres. A study ten years ago in this city had a sample standard
deviation of 120 acres for farm size. Answer parts (a) and (b).
a. About how large a sample of farms is needed?
n=
(Round up to the nearest integer.)
b. A sample is selected of the size found in (a). However, the sample has a standard deviation of 220 acres rather than 120. What is the margin of error for a 95% confidence interval for the mean
acreage of farms?
m=
(Round to one decimal place as needed.)
Transcribed Image Text:K An estimate is needed of the mean acreage of farms in a certain city. A 95% confidence interval should have a margin of error of 19 acres. A study ten years ago in this city had a sample standard deviation of 120 acres for farm size. Answer parts (a) and (b). a. About how large a sample of farms is needed? n= (Round up to the nearest integer.) b. A sample is selected of the size found in (a). However, the sample has a standard deviation of 220 acres rather than 120. What is the margin of error for a 95% confidence interval for the mean acreage of farms? m= (Round to one decimal place as needed.)
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