The manager of an SAT review program wonders whether average SAT scores differ depending on the ethnicity of the test taker. Thirty test scores for four ethnicities are collected. A portion of the data is shown in the accompanying table; the entire data set, labeled SAT_Ethnicity, can be found on the text website.

At the 5% significance level, can we conclude that the average SAT scores differ byethnicity?

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White Black Asian-American Mexican-American 1587 1300 1562 1255 1366 1660 1576 1531 1584 1358 1500 1284