A supermarket reviews sales receipts to see if certain types of items are bought

Question

A supermarket reviews sales receipts to see if certain types of items are bought together. The study may affect the floor plan used to display merchandise. For this question, label a purchase type A if it included snack foods, and label it type B if it included cleaning supplies. Suppose that, out of 784 receipts, purchase were type A, purchases were type B, and 112 were of both types A and B. (A) What is the sample set for this study? (B) What is the sample size? (C) How many type A purchases were not of type B? (D) How many type B purchases were not of type A? (E) How many purchases were either of type A, or of type B (or of both types)? (F) What, to the nearest tenth of a percent, is the relative frequency of type B purchases? (G) What, to the nearest tenth of a percent, is the relative frequency purchases that were neither type?

Explanation / Answer

A) Total number of sales

B) 784

C) 342-112 = 230

D) 188 - 112 = 76

E) 342+188 - 112 = 418

F) (188/784)x100 = 23.98%

G) [(784 - 418)/784]x100 = 46.7%

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