Question

In: Statistics and Probability

A sample of blood pressure measurements is taken for a group of​ adults, and those values​...

A sample of blood pressure measurements is taken for a group of​ adults, and those values​ (mm Hg) are listed below. The values are matched so that

1010

subjects each have a systolic and diastolic measurement. Find the coefficient of variation for each of the two​ samples; then compare the variation.

Systolic

118118

128128

158158

9494

158158

122122

118118

138138

126126

122122

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Diastolic

8181

7676

7676

5454

8989

8989

5858

6565

7272

8282

The coefficient of variation for the systolic measurements is

14.6 14.6​%.

​(Type an integer or decimal rounded to one decimal place as​ needed.)

The coefficient of variation for the diastolic measurements is

15.8 15.8​%.

​(Type an integer or decimal rounded to one decimal place as​ needed.)

Compare the variation.

The coefficients of variation for each data set are

within 5 percentage points of each other.

within 5 percentage points of each other.

more than 5 percentage points apart.

​Therefore, the systolic measurements vary

about the same as

significantly more than

about the same as

significantly less than

the diastolic measurements.

Solutions

Expert Solution

Please check the data as data is not correctly uploaded there is some error. So I counted the two numbers as one.

Please do the comment if there are any changes in data I will edit my answer. Thank You!

The given data is

systolic diastolic
118 81
128 76
158 76
94 54
158 89
122 89
118 58
138 65
126 72
122 82

Using excel<data<megastat<descriptive statistics

Here is the output:

Descriptive statistics
systolic diastolic
count 10 10
mean 128.20 74.20
sample standard deviation 19.24 12.07
sample variance 370.18 145.73
minimum 94 54
maximum 158 89
range 64 35
skewness 0.22 -0.47
kurtosis 0.41 -0.80
coefficient of variation (CV) 15.01% 16.27%

The coefficient of variation for the systolic measurements is 15.0%

The coefficient of variation for the diastolic measurements is 16.3%

The coefficients of variation for each data set are within 5 percentage points of each other.

Therefore, the systolic measurements vary about the same as the diastolic measurements.

Please check the data first.

Please do the comment for any doubt or clarification.


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