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 64 52 52 46 87 37 45 32 38 44 62 94 36 31 47 40 (a) Calculate a point estimate (in mg/dl) of the population mean HDL cholesterol level. 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%. mg/dl (c) Calculate a point estimate (in mg/dl) of the population standard deviation. (Round your answer to three decimal places.) mg/dl

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 29PFA
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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 53 53 64 52 52
87 37 45 32 38 44
62 94 36 31 47
(a) Calculate a point estimate (in mg/dl) of the population mean HDL cholesterol level.
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%.
mg/dl
(c) Calculate a point estimate (in mg/dl) of the population standard deviation. (Round your answer to three decimal places.)
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 =
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). 34 46 40 48 53 53 64 52 52 87 37 45 32 38 44 62 94 36 31 47 (a) Calculate a point estimate (in mg/dl) of the population mean HDL cholesterol level. 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%. mg/dl (c) Calculate a point estimate (in mg/dl) of the population standard deviation. (Round your answer to three decimal places.) 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 =
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