A university wants to evaluate whether students' quantitative reasoning skills improved during their college years. In Fall 20182018, 120120 first-year students took a standardized test (scores range from 200200 to 800800). The mean score was 540540 with a standard deviation of 9595. In Spring 20222022, 130130 graduating seniors took the same test, with a mean score of 578578 and a standard deviation of 9090. What statistical analysis could be used to determine if there is a significant increase in scores, and what is a limitation of this data?

Independent two-sample tt-testThe limitation is a cross-sectional design, so we cannot prove that the increase is caused by college education

Paired tt-testThe limitation is small sample sizes

One-way ANOVAThe limitation is unequal variances

Chi-square testThe limitation is that the test scores are not normally distributed

A university wants to evaluate whether students' quantitative rea...

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