Phyllodes tumors of the breast are rare tumors that represent less than one percent of growths in the breast. Researchers I. Youn et al. presented characteristics of phyllodes tumors in the article “Phyllodes Tumors of the Breast: Ultrasonographical Findings and Diagnostic Performance of Ultrasound-Guided Core Needle Biopsy” The following table provides summary statistics for the sizes, in millimeters (mm), of independent samples of benign and malignant phyllodes tumors.

At the 1% significance level, do the data provide sufficient evidence to conclude that, on average, malignant phyllodes tumors are larger than benign phyllodes tumors?

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Malignant x1 = 48.5 $1 = 38.5 n1=52 Benign *2 = 33.7 $2 = 26.6 n2 = 116