The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.32 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following consumption in liters:                       1.35 1.42 1.34 1.42 1.44 1.64 1.90 1.64 1.50 1.38     At the 0.025 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value. a) State the null hypothesis and the alternate hypothesis. (Round your answers to 2 decimal places.) b) State the decision rule for 0.025 significance level.(Round your answer to 3 decimal places.) c) Compute the value of the test statistic. (Round your intermediate and final answer to 3 decimal places.) d) Estimate the p-value.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.32 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following consumption in liters:

 

                   
1.35 1.42 1.34 1.42 1.44 1.64 1.90 1.64 1.50 1.38
 

 

At the 0.025 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value.

a) State the null hypothesis and the alternate hypothesis. (Round your answers to 2 decimal places.)

b) State the decision rule for 0.025 significance level.(Round your answer to 3 decimal places.)

c) Compute the value of the test statistic. (Round your intermediate and final answer to 3 decimal places.)

d) Estimate the p-value.

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