The paper “Effect of long-term blood pressure control on salt sensitivity” [Journal of Medicine (1997) 28:147–156] describes a study evaluating salt sensitivity (SENS) after a period of antihypertensive treatment. Ten hypertensive patients (diastolic blood pressure between 90 and 115 mmHg) were studied after at least 18 months on antihypertensive treatment. SENS readings, which were obtained before and after the patients were placed on an antihypertensive treatment, are given in data 3. Is there significant evidence that the mean SENS value decreased after the patient received antihypertensive treatment?data 3'Before' 'After'22.86 6.117.74 -4.0215.49 8.049.97 3.291.44 -0.779.39 6.9911.4 10.191.86 2.09-6.71 11.46.42 10.7 ### Data Comparison: Before and AfterThis table presents two sets of numerical data labeled as "Before" and "After". The numbers appear to represent some measured values taken at two different times or under two different conditions.**'Before' Column:**- 22.86- 7.74- 15.49- 9.97- 1.44- 9.39- 11.4- 1.86- -6.71- 6.42**'After' Column:**- 6.11- -4.02- 8.04- 3.29- -0.77- 6.99- 10.19- 2.09- 11.4- 10.7### Analysis- **Positive Values:** Both columns contain positive values, indicating an increase in some cases when comparing 'Before' to 'After.'- **Negative Values:** The "After" column contains some negative values (-4.02, -0.77), which could indicate a decrease or loss relative to the 'Before' data.- **Direct Comparison:** Some 'After' values are noticeably lower than their corresponding 'Before' values, while others show significant increases.This table can be used to assess changes over time or changes due to specific interventions or conditions, depending on the context provided by additional data.

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Description: The paper “Effect of long-term blood pressure control on salt sensitivity” [Journal of Medicine (1997) 28:147–156] describes a study evaluating salt sensitivity (SENS) after a period of antihypertensive treatment. Ten hypertensive patients (diastolic

Given, n=10 The hypothesis to be tested here is- H0:μD=0 (There is no significant…

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The paper “Effect of long-term blood pressure control on salt sensitivity” [Journal of Medicine (1997) 28:147–156] describes a study evaluating salt sensitivity (SENS) after a period of antihypertensive treatment. Ten hypertensive patients (diastolic blood pressure between 90 and 115 mmHg) were studied after at least 18 months on antihypertensive treatment. SENS readings, which were obtained before and after the patients were placed on an antihypertensive treatment, are given in data 3. Is there significant evidence that the mean SENS value decreased after the patient received antihypertensive treatment?

data 3

'Before' 'After'
22.86 6.11
7.74 -4.02
15.49 8.04
9.97 3.29
1.44 -0.77
9.39 6.99
11.4 10.19
1.86 2.09
-6.71 11.4
6.42 10.7

### Data Comparison: Before and After

This table presents two sets of numerical data labeled as "Before" and "After". The numbers appear to represent some measured values taken at two different times or under two different conditions.

**'Before' Column:**

- 22.86
- 7.74
- 15.49
- 9.97
- 1.44
- 9.39
- 11.4
- 1.86
- -6.71
- 6.42

**'After' Column:**

- 6.11
- -4.02
- 8.04
- 3.29
- -0.77
- 6.99
- 10.19
- 2.09
- 11.4
- 10.7

### Analysis

- **Positive Values:** Both columns contain positive values, indicating an increase in some cases when comparing 'Before' to 'After.'
- **Negative Values:** The "After" column contains some negative values (-4.02, -0.77), which could indicate a decrease or loss relative to the 'Before' data.
- **Direct Comparison:** Some 'After' values are noticeably lower than their corresponding 'Before' values, while others show significant increases.

This table can be used to assess changes over time or changes due to specific interventions or conditions, depending on the context provided by additional data.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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