The average life expectancy of citizens in 18 different Latin American countries was reported to bee 68.9 years with a standard deviation of 4.6 years. a) What is the critical value for 99% confidence? b) What is the 99% confidence interval of the true mean life expectancey?

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# Understanding Stars

## Stars: The Building Blocks of the Universe
Stars are massive, luminous spheres of plasma held together by gravity. They undergo nuclear fusion, converting hydrogen into helium and releasing a tremendous amount of energy in the form of light and heat. 

### The Life Cycle of a Star:

1. **Nebula**: 
   - Stars are born in nebulae, which are vast clouds of gas and dust in space. 
   - Within these nebulae, regions of higher density collapse under their gravity, forming protostars.

2. **Main Sequence**:
   - After reaching sufficient temperature and pressure, nuclear fusion begins, and the star enters the main sequence phase.
   - In this stable period, stars spend most of their life converting hydrogen into helium.

3. **Red Giant / Supergiant**:
   - As hydrogen depletes, the core contracts while the outer layers expand, cool, and redden.

4. **Fusion of Heavier Elements**:
   - In massive stars, heavier elements are formed in successive fusion reactions.
   - Elements up to iron may be produced in the core.

5. **End of Life Stages**:
   - **Planetary Nebula / White Dwarf**: Medium-sized stars shed their outer layers, leaving behind a hot core that cools into a white dwarf.
   - **Supernova / Neutron Star / Black Hole**: Massive stars may explode in a supernova, leaving behind either a dense neutron star or, if massive enough, a black hole.

### Stellar Classification

Stars are classified by their spectra and temperature:
- **O Type**: 30,000K or hotter, blue
- **B Type**: 10,000-30,000K, blue-white
- **A Type**: 7,500-10,000K, white
- **F Type**: 6,000-7,500K, yellow-white
- **G Type**: 5,200-6,000K, yellow (like the Sun)
- **K Type**: 3,700-5,200K, orange
- **M Type**: 2,400-3,700K, red

### Diagram Explanation

The diagram shows a star's life cycle:
- **Nebula**: Depicted as a cloud.
- **Protostar**: Shown forming within the nebula.
- **Main
Transcribed Image Text:# Understanding Stars ## Stars: The Building Blocks of the Universe Stars are massive, luminous spheres of plasma held together by gravity. They undergo nuclear fusion, converting hydrogen into helium and releasing a tremendous amount of energy in the form of light and heat. ### The Life Cycle of a Star: 1. **Nebula**: - Stars are born in nebulae, which are vast clouds of gas and dust in space. - Within these nebulae, regions of higher density collapse under their gravity, forming protostars. 2. **Main Sequence**: - After reaching sufficient temperature and pressure, nuclear fusion begins, and the star enters the main sequence phase. - In this stable period, stars spend most of their life converting hydrogen into helium. 3. **Red Giant / Supergiant**: - As hydrogen depletes, the core contracts while the outer layers expand, cool, and redden. 4. **Fusion of Heavier Elements**: - In massive stars, heavier elements are formed in successive fusion reactions. - Elements up to iron may be produced in the core. 5. **End of Life Stages**: - **Planetary Nebula / White Dwarf**: Medium-sized stars shed their outer layers, leaving behind a hot core that cools into a white dwarf. - **Supernova / Neutron Star / Black Hole**: Massive stars may explode in a supernova, leaving behind either a dense neutron star or, if massive enough, a black hole. ### Stellar Classification Stars are classified by their spectra and temperature: - **O Type**: 30,000K or hotter, blue - **B Type**: 10,000-30,000K, blue-white - **A Type**: 7,500-10,000K, white - **F Type**: 6,000-7,500K, yellow-white - **G Type**: 5,200-6,000K, yellow (like the Sun) - **K Type**: 3,700-5,200K, orange - **M Type**: 2,400-3,700K, red ### Diagram Explanation The diagram shows a star's life cycle: - **Nebula**: Depicted as a cloud. - **Protostar**: Shown forming within the nebula. - **Main
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