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Use the following historical data for the annual average temperature records for New York City, USA to answer the following questions. For each year, the data value is calculated by taking the average of the daily high temperature readings from every day of that year, observed in a specific location, e.g., Central Park for New York and Observatory Hill for Sydney. The data are sorted by year in ascending order. For your convenience, temperatures have been converted to the Fahrenheit scale. You can find the data and the original data sources at https://lagcc- cuny.digication.com/project data/Temperature Trends.)

Use the following historical data for the annual average temperature records for New York City, USA to answer the following questions. For each year, the data value is calculated by taking the average of the daily high temperature readings from every day of that year, observed in a specific location, e.g., Central Park for New York and Observatory Hill for Sydney. The data are sorted by year in ascending order. For your convenience, temperatures have been converted to the Fahrenheit scale. You can find the data and the original data sources at https://lagcc- cuny.digication.com/project data/Temperature Trends.)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
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### Temperature Comparison: New York City and Sydney This table provides the average yearly temperatures (in degrees Fahrenheit) for New York City (NYCtemp) and Sydney (Sydtemp) from 1989 to 2013. The data is presented in two columns for each city, with corresponding years listed alongside. #### NYC Average Temperatures (°F) - 1989: 53.2 - 1990: 56.4 - 1991: 56.4 - 1992: 53.1 - 1993: 54.7 - 1994: 54.4 - 1995: 54.4 - 1996: 53.7 - 1997: 54.3 - 1998: 57.1 - 1999: 56.5 - 2000: 53.8 - 2001: 56.2 - 2002: 56.4 - 2003: 53.4 - 2004: 54.5 - 2005: 55.7 - 2006: 56.8 - 2007: 55.0 - 2008: 55.3 - 2009: 54.0 - 2010: 56.7 - 2011: 56.4 - 2012: 57.3 - 2013: 55.5 #### Sydney Average Temperatures (°F) - 1989: 71.8 - 1990: 72.1 - 1991: 73.0 - 1992: 70.7 - 1993: 72.1 - 1994: 72.7 - 1995: 71.2 - 1996: 71.8 - 1997: 72.3 - 1998: 72.9 - 1999: 71.8 - 2000: 72.9 - 2001: 73.6 - 2002: 73.6 - 2003: 72.9 - 2004: 74.1 - 2005: 74.
Transcribed Image Text:### Temperature Comparison: New York City and Sydney This table provides the average yearly temperatures (in degrees Fahrenheit) for New York City (NYCtemp) and Sydney (Sydtemp) from 1989 to 2013. The data is presented in two columns for each city, with corresponding years listed alongside. #### NYC Average Temperatures (°F) - 1989: 53.2 - 1990: 56.4 - 1991: 56.4 - 1992: 53.1 - 1993: 54.7 - 1994: 54.4 - 1995: 54.4 - 1996: 53.7 - 1997: 54.3 - 1998: 57.1 - 1999: 56.5 - 2000: 53.8 - 2001: 56.2 - 2002: 56.4 - 2003: 53.4 - 2004: 54.5 - 2005: 55.7 - 2006: 56.8 - 2007: 55.0 - 2008: 55.3 - 2009: 54.0 - 2010: 56.7 - 2011: 56.4 - 2012: 57.3 - 2013: 55.5 #### Sydney Average Temperatures (°F) - 1989: 71.8 - 1990: 72.1 - 1991: 73.0 - 1992: 70.7 - 1993: 72.1 - 1994: 72.7 - 1995: 71.2 - 1996: 71.8 - 1997: 72.3 - 1998: 72.9 - 1999: 71.8 - 2000: 72.9 - 2001: 73.6 - 2002: 73.6 - 2003: 72.9 - 2004: 74.1 - 2005: 74.
**Project-3: Historical Temperature Trends (Hypothesis Test)** Use the following historical data for the annual average temperature records for New York City, USA to answer the following questions. For each year, the data value is calculated by taking the average of the daily high temperature readings from every day of that year, observed in a specific location, e.g., Central Park for New York and Observatory Hill for Sydney. The data are sorted by year in ascending order. For your convenience, temperatures have been converted to the Fahrenheit scale. You can find the data and the original data sources at: https://lagcc-cuny.digication.com/project_data/Temperature_Trends. For your convenience the data files are attached along with the assignment. **Q1) Let β be the average temperature of the world for the past 100 years from 1914-2013 measured in Fahrenheit. Conduct the hypothesis test using the t-distribution to test at 5% level of significance if the annual average temperature of New York City has increased over the past 25 years. Write your conclusion from the results you obtained. (Hint: Compute the average temperature ( ) and the standard deviation (s) from the given data for the last 25 years.)** **Q2) Repeat the above exercise for Sydney.** **Q3) Does your analysis of the historical temperature data for several cities provide evidence for the existence of the temperature increasing trend around the world? Why or why not? Include one graph or chart to support your claim. Based on your analyses in project-1 and 3, can you conclude whether the Global Warming is occurring? Why or why not?**
Transcribed Image Text:**Project-3: Historical Temperature Trends (Hypothesis Test)** Use the following historical data for the annual average temperature records for New York City, USA to answer the following questions. For each year, the data value is calculated by taking the average of the daily high temperature readings from every day of that year, observed in a specific location, e.g., Central Park for New York and Observatory Hill for Sydney. The data are sorted by year in ascending order. For your convenience, temperatures have been converted to the Fahrenheit scale. You can find the data and the original data sources at: https://lagcc-cuny.digication.com/project_data/Temperature_Trends. For your convenience the data files are attached along with the assignment. **Q1) Let β be the average temperature of the world for the past 100 years from 1914-2013 measured in Fahrenheit. Conduct the hypothesis test using the t-distribution to test at 5% level of significance if the annual average temperature of New York City has increased over the past 25 years. Write your conclusion from the results you obtained. (Hint: Compute the average temperature ( ) and the standard deviation (s) from the given data for the last 25 years.)** **Q2) Repeat the above exercise for Sydney.** **Q3) Does your analysis of the historical temperature data for several cities provide evidence for the existence of the temperature increasing trend around the world? Why or why not? Include one graph or chart to support your claim. Based on your analyses in project-1 and 3, can you conclude whether the Global Warming is occurring? Why or why not?**
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