SOLUTION: 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

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Question 1194606: 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 has a mean bottled water consumption of 27.8 gallons per year with a standard deviation of 4.1 gallons. At 𝛼=0.08, can you reject the claim
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Ho: mean = 28.5
Ha: mean NE 28.5
alpha=0.08 p{reject Ho|Ho true}
test stat is a t(0.92, df=99)
reject for |t|>1.769
calculate t=(x bar-mean)/s/sqrt(n)
=(0.7)/(4.1/10)
=7/4.1
=1.707
fail to reject Ho at the 8% level; insufficient evidence to reject the claim.
p-value is 0.091

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