Answered: In 1908, W. S. Gosset published the…

Name: In 1908, W. S. Gosset published the article “The Probable Error of Mea
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Description: In 1908, W. S. Gosset published the article “The Probable Error of Mean” in which he introduced what later became known as Student’s t−distribution. He used data in Table 1, which are additional hours of sleep obtained by a simple random sample of 10

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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In 1908, W. S. Gosset published the article “The Probable Error of Mean” in which he introduced what later became known as Student’s t−distribution. He used data in Table 1, which are additional hours of sleep obtained by a simple random sample of 10 patients using medication laevohysocyamine hydrobromide. The goal of the study was to establish if medication was effective; that is, if it provided additional amount of sleep. Assume that amounts of additional sleep are normally distributed. The sample mean is 2.33 hours and sample standard deviation is 2 hours.

a. If one percent significance level is used then

b. The value of the test statistic and p-value is

c. At one percent significance level, we can conclude that medication is

1.9
0.8 1.1 | 0.1 | -0.1 4.4 5.5 | 1.6 | 4.6 | 3.4
Table 1: Additional hours of sleep

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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