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Blood pressure A company held a blood pressure screening

Chapter 3, Problem 37E

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QUESTION:

Problem 37E

Blood pressure A company held a blood pressure screening clinic for its employees. The results are summarized in the table below by age group and blood pressure level:

a) Find the marginal distribution of blood pressure level.

b) Find the conditional distribution of blood pressure level within each age group.

c) Compare these distributions with a segmented bar graph.

d) Write a brief description of the association between age and blood pressure among these employees.

e) Does this prove that people’s blood pressure increases as they age? Explain.

Questions & Answers

QUESTION:

Problem 37E

Blood pressure A company held a blood pressure screening clinic for its employees. The results are summarized in the table below by age group and blood pressure level:

a) Find the marginal distribution of blood pressure level.

b) Find the conditional distribution of blood pressure level within each age group.

c) Compare these distributions with a segmented bar graph.

d) Write a brief description of the association between age and blood pressure among these employees.

e) Does this prove that people’s blood pressure increases as they age? Explain.

ANSWER:

Problem 37E

Blood pressure A company held a blood pressure screening clinic for its employees. The results are summarized in the table below by age group and blood pressure level:

a) Find the marginal distribution of blood pressure level.

b) Find the conditional distribution of blood pressure level within each age group.

c) Compare these distributions with a segmented bar graph.

d) Write a brief description of the association between age and blood pressure among these employees.

e) Does this prove that people’s blood pressure increases as they age? Explain.

                                                               Step by Step Solution

Step 1 of 5

(a)

When presented in the margins of a contingency table, the frequency distribution of one of the variables is called its marginal distribution. Calculate the total of each column and row, as shown in the Table below

Blood Pressure

Age

Total

 

Under 30

30–49

Over 50

Low

28

37

29

94

Normal

46

92

94

232

High

21

54

74

149

Total

95

183

197

475

To determine the percentages for the three blood pressure level, divide the count for

each blood pressure level by the total number of employees, ie;

According to the screening, 19.79% Employees have low blood pressure, 48.84% were Normal and 31.37% were having high blood pressure.

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