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Name: The American Water Works Association reports that the per capita water
Uploaded: 2024-03-20T07:07:12.000Z
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Description: The American Water Works Association reports that the per capita water use in a single-home is 69 gallons per day Legacy Ranch is a relatively new housing developmentThe builders installed more efficient water fixturessuch as low. tollets, and subseq

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The American Water Works Association reports that the per capita water use in a single-home is 69 gallons per day Legacy Ranch is a relatively new housing developmentThe builders installed more efficient water fixturessuch as low. tollets, and subsequently conducted a survey of the residences. Thirty-six owners respondedand the sample mean water use per day was 64 gallons with a standard deviation of 8.8 gallons per day. . What is the decision ruile? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

**Educational Content on Water Usage Statistics**

The American Water Works Association reports that the per capita water use in a single-family home is 69 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Thirty-six owners responded, and the sample mean water use per day was 64 gallons with a standard deviation of 8.8 gallons per day.

**Statistical Analysis:**

a. **Decision Rule:**
- Determine the decision rule for testing the hypothesis $H_0: \mu \geq 69$ against the alternative hypothesis $\mu < 69$. The decision is to reject $H_0$ and conclude that $\mu < 69$ when the test statistic is less than the critical value.

b. **Value of the Test Statistic:**
- Compute the test statistic value based on the sample data provided.

**Interactive Section:**
- There is a field to enter the decision rule and the value of the test statistic, with a prompt to check the answer by clicking "Check my work."

**Note:** Negative amounts should be indicated by a minus sign. Answers should be rounded to three decimal places.

*The content encourages users to apply statistical methods to real-world scenarios, enhancing understanding of data analysis in environmental studies.*

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