2. 4 points DevoraStat &.E.002 My Notes Ask Your A survey collects demographic,

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2. 4 points DevoraStat &.E.002 My Notes Ask Your 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 rik for heart diseas) 34 48 51 54 65 51 50 47 85 27 46 34 28 44 29 64 94 34 30 48 (a) Calculate a point estimste of the population mean HDL cholesterol level. (b Making n° assumptions about the shape of the population distribution, calculate a Point estimate of the value that separates the largest g0% of HDL levels from the smallest 50%. (c) Calculate a point estimate of the population standard deviation. (Round your answer to three decimel places.) (b) An HDL leval of at least 60 is considerad desirabla as it corresponds to a significantly lower risk of heart disease. Making no assumptionsabout the shape of the population distribution, estimate the proportion p of the population having an HDL level of at least 60 Need Help?RedTalk to a Tutor

Explanation / Answer

Part a)

The point estimate of mean = sample mean

Sample mean = sum of all values / 20

Sample mean = 993/20 = 49.65

.

Part b)

The median is the vlaue that divides the data in two equal halves

The median = (47 +48) / 2 = 47.5

.

Part c)

Population standard deviation can be calculated with help of excel formula

=stdev(a1:a20)

where in cells a1 to a20 the data is entered

We get Standard deviation = 16.6521

.

Part d)

There are four values which are either 60 or above it

Thus the Proportion = 4/20 = 0.20

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