The mean value of land and buildings per acre from a sample of farms is $1600, with a standard deviation of $100. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 70. (a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1500 and $1700. 48 farms (Round to the nearest whole number as needed.) (b) If 29 additional farms were sampled, about how many of these additional farms would you expect to have land and building values between $1500 per acre and $1700 per acre? farms out of 29 (Round to the nearest whole number as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The mean value of land and buildings per acre from a sample of farms is $1600, with a
standard deviation of $100. The data set has a bell-shaped distribution. Assume the number
of farms in the sample is 70.
(a) Use the empirical rule to estimate the number of farms whose land and building values
per acre are between $1500 and $1700.
48 farms (Round to the nearest whole number as needed.)
(b) If 29 additional farms were sampled, about how many of these additional farms would
you expect to have land and building values between $1500 per acre and $1700 per acre?
farms out of 29 (Round to the nearest whole number as needed.)
Transcribed Image Text:The mean value of land and buildings per acre from a sample of farms is $1600, with a standard deviation of $100. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 70. (a) Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1500 and $1700. 48 farms (Round to the nearest whole number as needed.) (b) If 29 additional farms were sampled, about how many of these additional farms would you expect to have land and building values between $1500 per acre and $1700 per acre? farms out of 29 (Round to the nearest whole number as needed.)
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