A study was conducted to investigate the effectiveness of drug A in reducing pain . Results for randomly selected subjects are shown in the table below. The differences have a normal distribution . Are the measurements , on average , lower after introduction of drug A? Test 5% significance . After Data Before Data Difference6.80.26.62.46.5-4.17.49-1.68.510.3-1.88.111.3-3.26.18.1-23.46.3-2.9211.6-9.6t-Test: Paired Two Sample forMeansAfterBeforeMean5.58758.7125Variance6.80410714 4.74125Observations1818Pearson Correlation0.27016232Hypothesized Mean Difference10dft Stat|-3.0359077P(T<=t) one-tailt Critical one-tail0.009477991.89457861P(T<=t) two-tail0.01895598t Critical two-tail2.36462425

The random variable reduction in pain follows normal distribution. There are two dependent variables…

Answered: A study was conducted to investigate…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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A study was conducted to investigate the effectiveness of drug A in reducing pain . Results for randomly selected subjects are shown in the table below. The differences have a normal distribution . Are the measurements , on average , lower after introduction of drug A? Test 5% significance .

After Data Before Data Difference
6.8
0.2
6.6
2.4
6.5
-4.1
7.4
9
-1.6
8.5
10.3
-1.8
8.1
11.3
-3.2
6.1
8.1
-2
3.4
6.3
-2.9
2
11.6
-9.6
t-Test: Paired Two Sample for
Means
After
Before
Mean
5.5875
8.7125
Variance
6.80410714 4.74125
Observations
18
18
Pearson Correlation
0.27016232
Hypothesized Mean Difference
10
df
t Stat
|-3.0359077
P(T<=t) one-tail
t Critical one-tail
0.00947799
1.89457861
P(T<=t) two-tail
0.01895598
t Critical two-tail
2.36462425

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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