Answer :
The correct type of analysis for the given scenario is a comparative analysis using a two-sample t-test.
Determine the comparative analysis?
The education major wants to compare the effectiveness of two teaching styles: the old teaching style and the new teaching style. To conduct this analysis, she selects 33 students to receive the old teaching style and another 33 students to receive the new teaching style. After a period of instruction, all 66 students take the same test, and their scores are recorded.
In this scenario, the education major wants to determine if there is a significant difference in test scores between the two groups. To address this question, a comparative analysis is appropriate. Specifically, a two-sample t-test is suitable for comparing the means of two independent groups. The test will assess whether the observed difference in test scores is statistically significant or occurred by chance.
The two-sample t-test assumes that the data are normally distributed and that the variances of the two groups are equal. By comparing the test scores of the two groups using this statistical test, the education major can determine if the new teaching style is more effective than the old teaching style in terms of test performance.
Therefore, the appropriate analysis for the scenario is a two-sample t-test, comparing the test scores of 33 students taught using the old teaching style with 33 students taught using the new teaching style.
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