Question
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)
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 | 48 | 53 | 53 | 66 | 50 | 50 |
46 | 87 | 37 | 45 | 32 | 38 | 44 |
38 | 62 | 96 | 34 | 29 | 47 |
(a)Calculate a point estimate (in mg/dl) of the population mean HDL cholesterol level.
(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%.
(c)Calculate a point estimate (in mg/dl) of the population standard deviation. (Round your answer to three decimal places.)
(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 =
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