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Hypothesis Testing: One Sample Tests

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Question:
The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.20 liters. A sample of 10 adults after the campaign shows the following consumption in liters:
- 1.34 1.32 1.38 1.40 1.70 1.40 1.32 1.90 1.38 1.36

At the 0.10 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 .10 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) At the 0.10 level, can we conclude that water consumption has increased?
(e) Estimate the p-value.

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Solution Summary

This solution involves working with one-sample t-tests to conduct hypothesis testing.

Solution Preview

(a) H0: mu=1.20 vs H1: mu>1.20
Reason: We are testing if the water consumption has increased. The word "increase" means a ">" sign.

(b) Since we ...

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