Josephine Mater works for a market research firm that specializes in the food industry. She currently is analyzing Trader Joe's, a national chain of specialty grocery stores. Specifically, Josephine would like to gain insight on Trader Joe's future expansion plans (which are closely guarded by the company). Josephine knows that Trader Joe's replenishes its inventory at its retail stores with frequent trucking shipments from its distribution centers. The le TraderJoes contains data on the location of Trader Joe's retail stores. To keep costs low, retail stores are typically located near a distribution center. Josephine would like to use k-means clustering to estimate the location and number of Trader Joe's distribution centers (information on Trader Joe's distribution centers is not publicly disclosed). How large must k be so that the average distance to each cluster centroid is less than 8 distance units as measured in the original (nonnormalized) coordinates? Be sure to Normalize Input Data and specify 50 iterations and 10 random starts in Step 2 of the XLMiner k-Means Clustering procedure.