Answered: 3. The total cholesterol levels for…

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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$**3. Cholesterol Levels for Women (20 to 30 years):** The total cholesterol levels for women aged 20 to 30 years are normally distributed with a mean (μ) of 190 mg/dL and a standard deviation (σ) of 40 mg/dL. A sample of 25 women is randomly selected. We are interested in finding the range of cholesterol series expected for the middle 95% of all sample means. **4. Cholesterol Levels for Women (20 to 30 years):** The total cholesterol levels for women aged 20 to 30 years are normally distributed with μ = 190 mg/dL and σ = 40 mg/dL. A sample of 25 women in this age group is randomly selected. Find the range of cholesterol series expected for the middle 99% of all sample means. **5. Life Expectancy in Hawaii:** Hawaiians are known to have an active lifestyle, with a life expectancy of the US population across all 50 states at μ = 78.62 years and a standard deviation σ = 16.51 years. A sample of 100 Hawaiians shows an average life expectancy $\overline{x}$ = 82.52 years. Test if Hawaiians’ average life expectancy is significantly different from 78.62 years at α = 0.01. **6. IQ Test and Wealthy School Districts:** A standardized IQ test is normally distributed with μ = 100 and σ = 10. It is believed that students in wealthier school districts have higher IQ scores. A researcher randomly selects 25 students from wealthy school districts, with an average IQ of $\overline{x}$ = 103. Conduct a test to see if the average score for students from wealthy districts is higher than 100, assuming α = 0.05. **7. ACT Composite Scores (Charter Schools - Lower):** According to the ACT Profile Report-National, ACT composite scores are normally distributed with μ = 21.0 and σ = 5.4. Charter schools receive funding from the state without providing required accountability measures. A sample of 36 high school seniors is randomly selected from charter schools, with an average ACT composite score of 19.8. Test if the average ACT composite score of seniors from charter schools is lower than 21.0, assuming α = 0.05. **8. ACT Composite Scores (Charter Schools$

Transcribed Image Text:**3. Cholesterol Levels for Women (20 to 30 years):** The total cholesterol levels for women aged 20 to 30 years are normally distributed with a mean (μ) of 190 mg/dL and a standard deviation (σ) of 40 mg/dL. A sample of 25 women is randomly selected. We are interested in finding the range of cholesterol series expected for the middle 95% of all sample means. **4. Cholesterol Levels for Women (20 to 30 years):** The total cholesterol levels for women aged 20 to 30 years are normally distributed with μ = 190 mg/dL and σ = 40 mg/dL. A sample of 25 women in this age group is randomly selected. Find the range of cholesterol series expected for the middle 99% of all sample means. **5. Life Expectancy in Hawaii:** Hawaiians are known to have an active lifestyle, with a life expectancy of the US population across all 50 states at μ = 78.62 years and a standard deviation σ = 16.51 years. A sample of 100 Hawaiians shows an average life expectancy $\overline{x}$ = 82.52 years. Test if Hawaiians’ average life expectancy is significantly different from 78.62 years at α = 0.01. **6. IQ Test and Wealthy School Districts:** A standardized IQ test is normally distributed with μ = 100 and σ = 10. It is believed that students in wealthier school districts have higher IQ scores. A researcher randomly selects 25 students from wealthy school districts, with an average IQ of $\overline{x}$ = 103. Conduct a test to see if the average score for students from wealthy districts is higher than 100, assuming α = 0.05. **7. ACT Composite Scores (Charter Schools - Lower):** According to the ACT Profile Report-National, ACT composite scores are normally distributed with μ = 21.0 and σ = 5.4. Charter schools receive funding from the state without providing required accountability measures. A sample of 36 high school seniors is randomly selected from charter schools, with an average ACT composite score of 19.8. Test if the average ACT composite score of seniors from charter schools is lower than 21.0, assuming α = 0.05. **8. ACT Composite Scores (Charter Schools

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