Q1) Find the value of both the sample mean and test statistics Exercise 1Hypertension is a long-term medical condition in which the bloodpressure in the arteries is persistently elevated. In elderly patients withhypertension, a high systolic pressure can cause a fainting episode, sotransporting them to an emergency clinic is imperative. Let x be thesystolic blood pressure of elderly patients with hypertension on arrivalat the emergency clinic after a fainting episode. A random sample ofsuch patients was considered. The measurements of each patient, inmm Hg, are given below. At the 5% level of significance, can weconclude from the datathis sample that the mean systolic bloodpressure of all elderly hypertensive patients transported to anemergency clinic after a fainting episode is different from 164 mmHg?patient xpatient xpatient x11521915437 1411462015838 1473145211523917341592214240161160231814116161732418642145716025159431698153261454414914627169451521016028 140461541118329145471601216030169481821314631 18249173141483217350 164151443317051 1501616034 18552 17917 17135 15053 1571815536 15654186

The t-test is used to find the mean differences between the two groups. It is inferential statistics…

Answered: Exercise 1 Hypertension is a long-term…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Q1) Find the value of both the sample mean and test statistics

Exercise 1
Hypertension is a long-term medical condition in which the blood
pressure in the arteries is persistently elevated. In elderly patients with
hypertension, a high systolic pressure can cause a fainting episode, so
transporting them to an emergency clinic is imperative. Let x be the
systolic blood pressure of elderly patients with hypertension on arrival
at the emergency clinic after a fainting episode. A random sample of
such patients was considered. The measurements of each patient, in
mm Hg, are given below. At the 5% level of significance, can we
conclude from the data
this sample that the mean systolic blood
pressure of all elderly hypertensive patients transported to an
emergency clinic after a fainting episode is different from 164 mm
Hg?
patient x
patient x
patient x
1
152
19
154
37 141
146
20
158
38 147
3
145
21
152
39
173
4
159
22
142
40
161
160
23
181
41
161
6
173
24
186
42
145
7
160
25
159
43
169
8
153
26
145
44
149
146
27
169
45
152
10
160
28 140
46
154
11
183
29
145
47
160
12
160
30
169
48
182
13
146
31 182
49
173
14
148
32
173
50 164
15
144
33
170
51 150
16
160
34 185
52 179
17 171
35 150
53 157
18
155
36 156
54
186

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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