5. According to data from the Environmental Protection Agency, the averag daily water consumption for a household of four people in the United Stat is approximately at least 243 gallons. Suppose a state agency plans to test this claim using an alpha level equal to 0.05 and a random sample of 100 households with four people. a) State the appropriate null and alternative hypotheses. b) Calculate the probability of committing a Type II error if the true population mean is 230 gallons. Assume that the population standard deviation is known to be 40 gallons.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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5. According to data from the Environmental Protection Agency, the average
daily water consumption for a household of four people in the United States
is approximately at least 243 gallons. Suppose a state agency plans to test
this claim using an alpha level equal to 0.05 and a random sample of 100
households with four people.
a) State the appropriate null and alternative hypotheses.
b) Calculate the probability of committing a Type II error if the true
population mean is 230 gallons. Assume that the population standard
deviation is known to be 40 gallons.
Transcribed Image Text:5. According to data from the Environmental Protection Agency, the average daily water consumption for a household of four people in the United States is approximately at least 243 gallons. Suppose a state agency plans to test this claim using an alpha level equal to 0.05 and a random sample of 100 households with four people. a) State the appropriate null and alternative hypotheses. b) Calculate the probability of committing a Type II error if the true population mean is 230 gallons. Assume that the population standard deviation is known to be 40 gallons.
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