A statistical test that permits assessment of the possible significance of the difference across the means of multiple groups is

Analysis of variance assesses whether the means of multiple groups differ significantly.

It partitions total variance into between-group and within-group components.

Student's t-test compares only two group means at a time.

A paired t-test compares two related or matched measurements.

The chi-square test examines association between categorical variables.

ANOVA uses the F statistic as its test statistic.