In an adult literacy program, 2 teaching methods are being considered. To compare their relativemerits, a group of 28 illiterates is taken, which are randomly separated into 2 groups of 14 each.Each group is literate with one of the methods and, once the instruction is completed, the time (inseconds) it takes to read a paragraph with an extension of 125 words is recorded for each of the28 individuals. The results are:Method A 58 67636156596064695255646559Method B65 52545863596048576362595047a) Test the hypothesis that the mean reading speed is the same with the 2 methods a = 0.05b) Establish a confidence interval for the difference between the a = 0.05 reading speedmeans. Relate the interval obtained with the hypothesis test in a). Which method is mosteffective?c) What assumptions did you have to make to solve parts a) and b)? Do they seemreasonable with this data?

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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 an adult literacy program, 2 teaching methods are being considered. To compare their relative
merits, a group of 28 illiterates is taken, which are randomly separated into 2 groups of 14 each.
Each group is literate with one of the methods and, once the instruction is completed, the time (in
seconds) it takes to read a paragraph with an extension of 125 words is recorded for each of the
28 individuals. The results are:
Method A 58 67
63
61
56
59
60
64
69
52
55
64
65
59
Method B
65 52
54
58
63
59
60
48
57
63
62
59
50
47
a) Test the hypothesis that the mean reading speed is the same with the 2 methods a = 0.05
b) Establish a confidence interval for the difference between the a = 0.05 reading speed
means. Relate the interval obtained with the hypothesis test in a). Which method is most
effective?
c) What assumptions did you have to make to solve parts a) and b)? Do they seem
reasonable with this data?

Expert Solution

Step 1: Introduction

The hypothesis test is a statistical method in which one using the sample data try to check the hypothesis for the population parameter using the different statistical test available. The hypothesis test is an inference statistical tool.

The hypothesis test consist of null and alternate hypothesis and are tested to reject or fail to reject the null hypothesis. If the test statistics is in the rejection region then we reject the null hypothesis otherwise we fail to reject the null hypothesis.

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