An instructor gave students the option to purchase an interactive program that allows them to answer questions during class and receive credit for participating. Alternatively, students could work an extra problem during weekly homework assignments. The instructor randomly selected 10 students, then randomly divided them into two groups of five each. One group was provided the interactive tool, the other group was asked to work the extra problem. The instructor knew from prior experience that the interactive tool increases attendance. The table below contains the final exam scores for the 10 students (on a scale from 0 to 100). Interactive: 65 78 84 88 96 Extra problem: 56 61 70 75 82 The instructor wishes to test whether increased attendance throughout the semester leads to improved exam scores. Let µ I = mean score that would be observed if all students used the interactive tool and µ E = mean score if all students worked an extra problem. The hypothesis to be tested is image: µ I = µ E. After rechecking the exam scores, the instructor notes that the lowest score in the extra problem group is actually only 16. The two-sample t test should not be used because: the data can be paired since there are five in each group. the t test is not robust enough for samples of size five each. the t test for small samples is not robust to outliers. All of the answer options are correct.

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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An instructor gave students the option to purchase an interactive program that allows them to answer questions during class and receive credit for participating. Alternatively, students could work an extra problem during weekly homework assignments. The instructor randomly selected 10 students, then randomly divided them into two groups of five each. One group was provided the interactive tool, the other group was asked to work the extra problem. The instructor knew from prior experience that the interactive tool increases attendance. The table below contains the final exam scores for the 10 students (on a scale from 0 to 100). Interactive: 65 78 84 88 96 Extra problem: 56 61 70 75 82 The instructor wishes to test whether increased attendance throughout the semester leads to improved exam scores. Let µ I = mean score that would be observed if all students used the interactive tool and µ E = mean score if all students worked an extra problem. The hypothesis to be tested is image: µ I = µ E. After rechecking the exam scores, the instructor notes that the lowest score in the extra problem group is actually only 16. The two-sample t test should not be used because: the data can be paired since there are five in each group. the t test is not robust enough for samples of size five each. the t test for small samples is not robust to outliers. All of the answer options are correct.

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