The U.S. Department of Agriculture claims that the mean consumption of bottled water by a person in the United States is 28.5 gallons per year. A random sample of 100 people in the United States had a mean bottled water consumption of 27.8 gallons per year with a standard deviation of 4.1 gallons. Does this sample indicate that the mean annual consumption of bottled water for people in the United States is not 28.5 gallons per year? (Reference: U.S. Department of Agriculture) At a 5% level of significance, what is the power of this test against the alternative μ= 27.4? (For this problem only, assume that the standard deviation of the population (i.e. sigma) is 4.1) O 77% 5% 85% 0.90%

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The U.S. Department of Agriculture claims that the mean
consumption of bottled water by a person in the United States is 28.5
gallons per year. A random sample of 100 people in the United States
had a mean bottled water consumption of 27.8 gallons per year with
a standard deviation of 4.1 gallons. Does this sample indicate that
the mean annual consumption of bottled water for people in the
United States is not 28.5 gallons per year? (Reference: U.S.
Department of Agriculture)
At a 5% level of significance, what is the power of this test against the
alternative μ= 27.4? (For this problem only, assume that the
standard deviation of the population (i.e. sigma) is 4.1)
O 77%
5%
85%
0.90%
Transcribed Image Text:The U.S. Department of Agriculture claims that the mean consumption of bottled water by a person in the United States is 28.5 gallons per year. A random sample of 100 people in the United States had a mean bottled water consumption of 27.8 gallons per year with a standard deviation of 4.1 gallons. Does this sample indicate that the mean annual consumption of bottled water for people in the United States is not 28.5 gallons per year? (Reference: U.S. Department of Agriculture) At a 5% level of significance, what is the power of this test against the alternative μ= 27.4? (For this problem only, assume that the standard deviation of the population (i.e. sigma) is 4.1) O 77% 5% 85% 0.90%
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