Professor X teaches the course Engineering Data Analysis

Professor X teaches the course Engineering Data Analysis (EDA) using the conventional method in one of his classes. He then began to teach the course using computers and statistical software in the second class. Professor X gives the same examinations to these two classes. It was observed that the students who are taught using computers and statistical software tend to get higher scores but this is not true every time. He decides to test this hypothesis at 1% level of significance. From the final exam results, he takes a random sample for 14 students from the first class and 10 from the second class. He gets the following results: for the class using conventional method: mean of 85 and standard deviation of 8, while for the second class using computer and statistical software: mean of 92 and standard deviation of 6. As a student of EDA will you agree with Professor X?

Null Hypothesis:

Alternative Hypothesis:

Level of Significance: Choose from 0.10, 0.05 or 0.01

Test: Choose from Two-tailed, right-tailed or left-tailed

Test statistic to use: Choose from Z-test, t-test, chi-square test for variance or F-test

Critical value(s):

Decision rule (ex. reject Ho if tcalc < -1.234 or tcalc > 1.234))

Computed value of the test statistic:

Decision: Reject null hypothesis or fail to reject null hypothesis

Conclusion:

P-value:

Decision base on P-value: Reject null hypothesis or fail to reject null hypothesis

 

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