Dress shoes of a specific style for women come in sizes ranging from 6 to 10. A retailer believes that this range of sizes is adequate for all but5% of its female customers.

(a) What normal model for sizes is consistent with the opinion of theretailer? (Assume that the model is centered on the givenrange.)

(b) If the retailer uses a normalmodel, then should it order more shoes of sizes 6 and 7 or more shoes of sizes 9 and 10?

(c) Can a normal model possibly be the right model for the proportion of shoe sizes of theretailer's femalecustomers?

(a) The normal model with = __ and = __ is consistent with the opinion of the retailer.