The National Health and Nutrition Examination Survey (NHANES) measured the serum

Question

The National Health and Nutrition Examination Survey (NHANES) measured the serum cholesterol HDL levels (in milligrams per deciliter) in a sample of 40 women. The following summary statistics were obtained using 1-Var Stats on a scientific calculator. Use this information to answer the questions below. (2 pts each) 4. x-54.775 Sx 16.44803394 ox = 16.2411322 minX 27 Q1 37 Med 56.5 Q3 65.5 maxx 84 a. What is the mean serum cholesterol level for these data? b. Find the median for these data. c. What is the standard deviation of the serum cholesterol levels? d. Find the five-number summary for this data set. A paint manufacturer discovers that the mean volume of paint in a gallon-sized pail is 1 gallon with a standard deviation of 0.05 gallons. The paint volumes are approximately bell-shaped. 5. Using the Empirical Rule, estimate the percent of pails with volumes between 0.90 gallons and 1.10 gallons and explain why it is appropriate to use the Empirical Rule for this distribution instead of Chebyshev's Inequality. An illustration of the Empirical Rule is provided below. (3 pts) Almos all

Explanation / Answer

4)

Solution :

From given information,

a) The mean serum cholestorel level for these data is = 54.775

b) The medain for these data is = 56.5

c) The standard deviation of the serum cholestorel levels is = 16.4480

d) The five point summry for this data set is,

Minimum = 27

Q1 = 37

Median = Q2 = 56.5

Q3 = 65.5

Maximum = 84

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