# 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.

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(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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