The average farm size in the United States is 444 acres. A random sample of 50 farms in New York indicated a mean size of 460 acres, and the population standard 0. 05, can it be concluded that the average farm in New York differs from the national deviation is 54 acres. At a = mean? Please show all work in performing your hypothesis test below. Be sure to include null and alternative hypotheses, critical value, test value and your conclusion.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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The average farm size in the United States
is 444 acres. A random sample of 50
farms in New York indicated a mean size
of 460 acres, and the population standard
deviation is 54 acres. At a
0. 05,
can it be concluded that the average farm
in New York differs from the national
mean?
Please show all work in performing your
hypothesis test below. Be sure to include
null and alternative hypotheses, critical
value, test value and your conclusion.
Transcribed Image Text:The average farm size in the United States is 444 acres. A random sample of 50 farms in New York indicated a mean size of 460 acres, and the population standard deviation is 54 acres. At a 0. 05, can it be concluded that the average farm in New York differs from the national mean? Please show all work in performing your hypothesis test below. Be sure to include null and alternative hypotheses, critical value, test value and your conclusion.
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