A pharmaceutical company is conducting a clinical trial to test the effectiveness of a new drug in reducing systolic blood pressure (SBP) in individuals with hypertension. The trial involves a random sample of of n = 23 individuals diagnosed with high blood pressure. Each participant's SBP is measured before the trial begins. They then take the new drug daily for six weeks. After six weeks, their SBP is measured again, and the amount of reduction (difference between the initial and final SBP) is recorded. 13, 33, 31, 16, 1, 21, 0, 36, 20, 26, 11, 51, 27, 16, 48, 28, 12, 13, 34, 40, 23, 8, 18 R-Data vector from the sample is provided below data=c(13, 33, 31, 16, 1, 21, 0, 36, 20, 26, 11, 51, 27, 16, 48, 28, 12, 13, 34, 40, 23, 8, 18) Copy and paste the command to R for your statistical analysis. (a) Find the mean, the variance and the median of this sample. Use at least three decimal places in each answer. The sample mean X of the difference between the initial and final SBP is 22.826 The sample variance S² of the difference between the initial and final SBP is The median of difference between the initial and final SBP is 21.000 The 1st quartile Q1 of difference between the initial and final SBP is 13.000 The 3rd quartile Q3 of difference between the initial and final SBP is 33.000 IQR of difference between the initial and final SBP is 20.000
A pharmaceutical company is conducting a clinical trial to test the effectiveness of a new drug in reducing systolic blood pressure (SBP) in individuals with hypertension. The trial involves a random sample of of n = 23 individuals diagnosed with high blood pressure. Each participant's SBP is measured before the trial begins. They then take the new drug daily for six weeks. After six weeks, their SBP is measured again, and the amount of reduction (difference between the initial and final SBP) is recorded. 13, 33, 31, 16, 1, 21, 0, 36, 20, 26, 11, 51, 27, 16, 48, 28, 12, 13, 34, 40, 23, 8, 18 R-Data vector from the sample is provided below data=c(13, 33, 31, 16, 1, 21, 0, 36, 20, 26, 11, 51, 27, 16, 48, 28, 12, 13, 34, 40, 23, 8, 18) Copy and paste the command to R for your statistical analysis. (a) Find the mean, the variance and the median of this sample. Use at least three decimal places in each answer. The sample mean X of the difference between the initial and final SBP is 22.826 The sample variance S² of the difference between the initial and final SBP is The median of difference between the initial and final SBP is 21.000 The 1st quartile Q1 of difference between the initial and final SBP is 13.000 The 3rd quartile Q3 of difference between the initial and final SBP is 33.000 IQR of difference between the initial and final SBP is 20.000
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Please help me find the sample variance for this question.

Transcribed Image Text:A pharmaceutical company is conducting a clinical trial to test the effectiveness of a new drug in reducing systolic blood pressure (SBP) in individuals with hypertension. The trial involves a random
sample of of n = 23 individuals diagnosed with high blood pressure. Each participant's SBP is measured before the trial begins. They then take the new drug daily for six weeks. After six weeks, their SBP
is measured again, and the amount of reduction (difference between the initial and final SBP) is recorded.
13, 33, 31, 16, 1, 21, 0, 36, 20, 26, 11, 51, 27, 16, 48, 28, 12, 13, 34, 40, 23, 8, 18
R-Data vector from the sample is provided below
data=c(13, 33, 31, 16, 1, 21, 0, 36, 20, 26, 11, 51, 27, 16, 48, 28, 12, 13, 34, 40, 23, 8, 18)
Copy and paste the command to R for your statistical analysis.
(a) Find the mean, the variance and the median of this sample. Use at least three decimal places in each answer.
The sample mean X of the difference between the initial and final SBP is 22.826
The sample variance S² of the difference between the initial and final SBP is
The median of difference between the initial and final SBP is 21.000
The 1st quartile Q1 of difference between the initial and final SBP is 13.000
The 3rd quartile Q3 of difference between the initial and final SBP is 33.000
IQR of difference between the initial and final SBP is 20.000
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