A survey collects demographic, socloeconomic, dietary, and health-related inform

Question

A survey collects demographic, socloeconomic, dietary, and health-related information on an annual basis. Here is a sample of 20 observations on HOL cholesterol level (mg/ai) obtained from the survey (HDL is "good" cholesterol; the higher its value, the lower the risk for heart disease) 34 48 53 53 64 51 51 47 87 36 46 33 38 45 38 62 95 34 30 48 (a) Calculate a point estimate of the population mean HDL cholesterol level Making no assumptions about the shape of the population distribution, ca ulate a port est smallest 50%. ate of the value that separates per sm of OL e S hom the e (b (c) Calculate a point estimate of the population standard deviation. (Round your answer to three decimal places.) (b) An HDL level of at least 60 is considered desirable as it corresponds to a significantly lower risk of population distribution, estimate the proportion of the population having an HDL level of at least 60.

Explanation / Answer

The statistical software output for this problem is:

Summary statistics:

Hence,

a) Estimate of mean = 49.65

b) Median = 47.5

c) Standard deviation = 16.575

d) Number of values at least 60 = 4

Total number of values = 20

So,

Required proportion (p) = 4/20 = 1/5 = 0.20

Column Mean Median Unadj. std. dev. Data 49.65 47.5 16.574906

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