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://Magcc- cuny.digication.com/project data/Temperature Trends.) For your convenience the data files are attached along with the assignment. Q1) Let be the average temperature of the world for the past 100 years from 1914-2013 measured in Fahrenheits. 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. 03) 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-l and 3, can you conclude whether the Global Warming is occurring? Why or why not?

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Here is the data to solve these 3 question. Please give me all this 3 questions answer.
The image contains tables listing numerical data across multiple years, divided into four columns. Below is the transcription of each column as it appears:

### Column 1:
- **Year 1869**: 51.4
- **Year 1870**: 53.6
- **Year 1871**: 51.1
- **Year 1872**: 50.8
- **Year 1873**: 51.9
- **Year 1874**: 51.7
- **Year 1875**: 49.4
- **Year 1876**: 52.8
- **Year 1877**: 52.4
- **Year 1878**: 50.6
- **Year 1879**: 52.8
- **Year 1880**: 53.1
- **Year 1881**: 52.7
- **Year 1882**: 52.4
- **Year 1883**: 50.8
- **Year 1884**: 50.2
- **Year 1885**: 50.6
- **Year 1886**: 50.4
- **Year 1887**: 51.5
- **Year 1888**: 49.3
- **Year 1889**: 49.9
- **Year 1890**: 51.0
- **Year 1891**: 53.8
- **Year 1892**: 51.4
- **Year 1893**: 51.1
- **Year 1894**: 49.6
- **Year 1895**: 50.5
- **Year 1896**: 51.1
- **Year 1897**: 49.8
- **Year 1898**: 50.0
- **Year 1899**: 50.0
- **Year 1900**: 51.0
- **Year 1901**: 52.0
- **Year 1902**: 52.4
- **Year 1903**: 50.2
- **Year 1904**: 51.4
Transcribed Image Text:The image contains tables listing numerical data across multiple years, divided into four columns. Below is the transcription of each column as it appears: ### Column 1: - **Year 1869**: 51.4 - **Year 1870**: 53.6 - **Year 1871**: 51.1 - **Year 1872**: 50.8 - **Year 1873**: 51.9 - **Year 1874**: 51.7 - **Year 1875**: 49.4 - **Year 1876**: 52.8 - **Year 1877**: 52.4 - **Year 1878**: 50.6 - **Year 1879**: 52.8 - **Year 1880**: 53.1 - **Year 1881**: 52.7 - **Year 1882**: 52.4 - **Year 1883**: 50.8 - **Year 1884**: 50.2 - **Year 1885**: 50.6 - **Year 1886**: 50.4 - **Year 1887**: 51.5 - **Year 1888**: 49.3 - **Year 1889**: 49.9 - **Year 1890**: 51.0 - **Year 1891**: 53.8 - **Year 1892**: 51.4 - **Year 1893**: 51.1 - **Year 1894**: 49.6 - **Year 1895**: 50.5 - **Year 1896**: 51.1 - **Year 1897**: 49.8 - **Year 1898**: 50.0 - **Year 1899**: 50.0 - **Year 1900**: 51.0 - **Year 1901**: 52.0 - **Year 1902**: 52.4 - **Year 1903**: 50.2 - **Year 1904**: 51.4
**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](https://lagcc-cuny.digication.com/project_data/Temperature_Trends).

For your convenience the data files are attached along with the assignment.

**Q1**: Let \(\bar{x}\) 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 a 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 (\(\bar{x}\)) 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 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](https://lagcc-cuny.digication.com/project_data/Temperature_Trends). For your convenience the data files are attached along with the assignment. **Q1**: Let \(\bar{x}\) 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 a 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 (\(\bar{x}\)) 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 Global Warming is occurring? Why or why not?
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