A survey collects demographic, socioeconomic, dietary, and health-related information on an annual basis. Here is a sample of 20 observations on HDL cholesterol level (mg/dl) obtained from the survey (HDL is "good" cholesterol; the higher its value, the lower the risk for heart disease). 34 46 40 48 51 55 66 52 50 87 37 45 32 40 44 62 94 36 29 47 (a) Calculate a point estimate (in mg/dl) of the population mean HDL cholesterol level. 49.75 mg/dl (b) Making no assumptions about the shape of the population distribution, calculate a point estimate (in mg/dl) of the value that separates the largest 50% of HDL levels from the smallest 50%. 46.5 ✔ mg/dl (c) Calculate a point estimate (in mg/dl) of the population standard deviation. (Round your answer to three decimal places.) x mg/dl (d) An HDL level of at least 60 is considered desirable as it corresponds to a significantly lower risk of heart disease. Making no assumptions about the shape of the population distribution, estimate the proportion p of the population having an HDL level of at least 60. p = 0.2
A survey collects demographic, socioeconomic, dietary, and health-related information on an annual basis. Here is a sample of 20 observations on HDL cholesterol level (mg/dl) obtained from the survey (HDL is "good" cholesterol; the higher its value, the lower the risk for heart disease). 34 46 40 48 51 55 66 52 50 87 37 45 32 40 44 62 94 36 29 47 (a) Calculate a point estimate (in mg/dl) of the population mean HDL cholesterol level. 49.75 mg/dl (b) Making no assumptions about the shape of the population distribution, calculate a point estimate (in mg/dl) of the value that separates the largest 50% of HDL levels from the smallest 50%. 46.5 ✔ mg/dl (c) Calculate a point estimate (in mg/dl) of the population standard deviation. (Round your answer to three decimal places.) x mg/dl (d) An HDL level of at least 60 is considered desirable as it corresponds to a significantly lower risk of heart disease. Making no assumptions about the shape of the population distribution, estimate the proportion p of the population having an HDL level of at least 60. p = 0.2
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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Transcribed Image Text:A survey collects demographic, socioeconomic, dietary, and health-related information on an annual basis. Here is a sample of 20 observations on HDL cholesterol level (mg/dl) obtained from the survey (HDL is "good" cholesterol; the higher its value, the lower the risk for heart disease).
### Cholesterol Level Data
- **Data Points**:
- Row 1: 34, 48, 51, 55, 66, 52, 50
- Row 2: 46, 87, 37, 45, 32, 40, 44
- Row 3: 40, 62, 94, 36, 49, 47
### Tasks:
(a) **Calculate a point estimate (in mg/dl) of the population mean HDL cholesterol level.**
- **Answer**: 49.75 mg/dl
(b) **Making no assumptions about the shape of the population distribution, calculate a point estimate (in mg/dl) of the value that separates the largest 50% of HDL levels from the smallest 50%.**
- **Answer**: 46.5 mg/dl
(c) **Calculate a point estimate (in mg/dl) of the population standard deviation. (Round your answer to three decimal places.)**
- **Answer**: Not provided
(d) **An HDL level of at least 60 is considered desirable as it corresponds to a significantly lower risk of heart disease. Making no assumptions about the shape of the population distribution, estimate the proportion \( p \) of the population having an HDL level of at least 60.**
- **Proportion \((p)\)**: 0.2
### Explanation
- The data table displays individual HDL cholesterol levels in mg/dl.
- Calculations are based on statistical methods to estimate mean, median, standard deviation, and proportion of cholesterol levels meeting the desirable threshold.
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