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? (Assume that the model is centered on the given range.)
(b) If the retailer uses a normal model, then should it order more shoes of sizes 5 and 6 or more shoes of sizes 10 and 11?
(c) Can a normal model possibly be the right model for the proportion of shoe sizes of the retailer's female customers?
(a) The normal model with μ = ____ and σ = ____ is consistent with the opinion of the retailer.
(Round to the nearest integer as needed.)
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