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An article in Urban Ecosystems, “Urbanization and Warming
Chapter 8, Problem 53E(choose chapter or problem)
An article in Urban Ecosystems, “Urbanization and Warming of Phoenix (Arizona, USA): Impacts, Feedbacks and Mitigation” (2002, Vol. 6, pp. 183–203), mentions that Phoenix is ideal to study the effects of an urban heat island because it has grown from a population of 300,000 to approximately 3 million over the last 50 years, which is a period with a continuous, detailed climate record. The 50-year averages of the mean annual temperatures at eight sites in Phoenix follow. Check the assumption of normality in the population with a probability plot. Construct a 95% confidence interval for the standard deviation over the sites of the mean annual temperatures.
Site |
Average Mean |
Temperature \(\left({ }^{\circ} C\right)\) |
|
Sky Harbor Airport |
23.3 |
Phoenix Greenway |
21.7 |
Phoenix Encanto |
21.6 |
Waddell |
21.7 |
Litchfield |
21.3 |
Laveen |
20.7 |
Maricopa |
20.9 |
Harlquahala |
20.1 |
Equation Transcription:
Text Transcription:
(degC)
Questions & Answers
QUESTION:
An article in Urban Ecosystems, “Urbanization and Warming of Phoenix (Arizona, USA): Impacts, Feedbacks and Mitigation” (2002, Vol. 6, pp. 183–203), mentions that Phoenix is ideal to study the effects of an urban heat island because it has grown from a population of 300,000 to approximately 3 million over the last 50 years, which is a period with a continuous, detailed climate record. The 50-year averages of the mean annual temperatures at eight sites in Phoenix follow. Check the assumption of normality in the population with a probability plot. Construct a 95% confidence interval for the standard deviation over the sites of the mean annual temperatures.
Site |
Average Mean |
Temperature \(\left({ }^{\circ} C\right)\) |
|
Sky Harbor Airport |
23.3 |
Phoenix Greenway |
21.7 |
Phoenix Encanto |
21.6 |
Waddell |
21.7 |
Litchfield |
21.3 |
Laveen |
20.7 |
Maricopa |
20.9 |
Harlquahala |
20.1 |
Equation Transcription:
Text Transcription:
(degC)
ANSWER:
Step 1 of 4
To check whether the averages of the mean annual temperatures at eight sites in Phoenix are normally distributed. We need to construct a normal probability plot. If the points in the probability plot form a line or lie closer to the line drawn approximately between the 25th and 75th percentile points, then we can say that the data is normally distributed.