Assume that Data Set 21 in Appendix B represents sample prices and characteristics of high quality diamonds sold at auction. A vendor claims that nearly flawless diamonds sell at a higher price than noticeably flawed ones. Based on the data summarized in the margin (from Data Set 21, with clarity 4-9 interpreted as "More Flawed"), use a 0.05 level of significance to test the vendor's claim. Assume equal variances for the two groups. Should a buyer for the auction house avoid buying the noticeably flawed diamonds? Is more information needed to answer that question? Explain