Dress shoes of a specific style for women come in sizes ranging from 4 to 12. A retailer believes that this range of sizes is adequate for all but 5% of its female customers.
(a) What normal model for sizes is consistent with the opinion of the retailer?
(b) If the retailer uses a normal model, then should it order more shoes of sizes 4 and 5 or more shoes of sizes 11 and 12?
(c) Can a normal model possibly be the right model for the proportion of shoe sizes of the retailer’s female customers?