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1. For this problem, treat the data in the Pre-Module and Post-Module scores as independent samples. a. Write the hypothesis for this test, using appropriate symbols. b. What is the value of the test statistic for this test? c. What is the p-value for this test? d. What is your conclusion for this test at the 0.01 significance level?

1. For this problem, treat the data in the Pre-Module and Post-Module scores as independent samples. a. Write the hypothesis for this test, using appropriate symbols. b. What is the value of the test statistic for this test? c. What is the p-value for this test? d. What is your conclusion for this test at the 0.01 significance level?

MATLAB: An Introduction with Applications
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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Suppose a sample of n students were given a diagnostic test before studying a particular module and then again after completing the module. We want to find out if, in general, our  teaching leads to improvements  in students' knowledge/skills  (i.e. test  scores).     

Analyze the data in two different ways: in question 1, please treat the data from the Pre-Module Scores and the data from the Post-Module scores as independent data; that is, do no pair them.

For question 2, you will repeat the analysis, but with the data paired.

Suppose a sample of n students were given a diagnostic test before studying a particular module and then again after completing the module. We want to find out if, in general, our teaching leads to improvements in students' knowledge/skills (i.e. test scores). Student Pre-Module Score Post-Module Score 1 18 22 2 21 25 3 16 17 4 22 24 5 19 16 24 29 17 20 8. 21 23 23 19 10 18 20 11 14 15 12 16 15 13 16 18 14 19 26 15 18 18 16 20 24 17 12 18 18 22 25 19 15 19 20 17 16 670
Transcribed Image Text:Suppose a sample of n students were given a diagnostic test before studying a particular module and then again after completing the module. We want to find out if, in general, our teaching leads to improvements in students' knowledge/skills (i.e. test scores). Student Pre-Module Score Post-Module Score 1 18 22 2 21 25 3 16 17 4 22 24 5 19 16 24 29 17 20 8. 21 23 23 19 10 18 20 11 14 15 12 16 15 13 16 18 14 19 26 15 18 18 16 20 24 17 12 18 18 22 25 19 15 19 20 17 16 670
1. For this problem, treat the data in the Pre-Module and Post-Module scores as independent samples. Write the hypothesis for this test, using appropriate symbols. a. b. What is the value of the test statistic for this test? What is the p-value for this test? с. d. What is your conclusion for this test at the 0.01 significance level? 2. For this problem, treat the data in the Pre-Module and Post-Module scores as paired data according to the table on the first page. a. Write the hypothesis for this test, using appropriate symbols. b. What is the value of the test statistic for this test? c. What is the p-value for this test? d. What is your conclusion for this test at the 0.01 significance level? 3. Which of these tests – the independent sample test or the paired test – is most appropriate? Why?
Transcribed Image Text:1. For this problem, treat the data in the Pre-Module and Post-Module scores as independent samples. Write the hypothesis for this test, using appropriate symbols. a. b. What is the value of the test statistic for this test? What is the p-value for this test? с. d. What is your conclusion for this test at the 0.01 significance level? 2. For this problem, treat the data in the Pre-Module and Post-Module scores as paired data according to the table on the first page. a. Write the hypothesis for this test, using appropriate symbols. b. What is the value of the test statistic for this test? c. What is the p-value for this test? d. What is your conclusion for this test at the 0.01 significance level? 3. Which of these tests – the independent sample test or the paired test – is most appropriate? Why?
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