Scoring: EPI E PI Men's shirt sizes are determined by neck sizes. Suppose that men's neck...

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Scoring: EPI E PI Men's shirt sizes are determined by neck sizes. Suppose that men's neck sizes are approximately normally distributed with mean 15.7 inches and standard deviation 0.7 inch. A retailer sells men's shirts in sizes S, M, L, XL, where the shirt sizes are defined in the table below. Shirt Size S M L XL Neck Size 14 S neck size < 15 15 S neck size < 16 16 S neck size < 17 17 S neck size < 18 (a) Because the retailer only stocks the sizes listed above, what proportion of customers will find the retailer does not carry any shirts in their sizes? Show your work. 2= 14 15.6" 13" 15.0 +5.7" 16" 12.1" 17.8" (b) Using a sketch of a normal curve, illustrate the proportion of men whose shirt size is M. Calculate this proportion. Scoring: EPI E PI Men's shirt sizes are determined by neck sizes. Suppose that men's neck sizes are approximately normally distributed with mean 15.7 inches and standard deviation 0.7 inch. A retailer sells men's shirts in sizes S, M, L, XL, where the shirt sizes are defined in the table below. Shirt Size S M L XL Neck Size 14 S neck size < 15 15 S neck size < 16 16 S neck size < 17 17 S neck size < 18 (a) Because the retailer only stocks the sizes listed above, what proportion of customers will find the retailer does not carry any shirts in their sizes? Show your work. 2= 14 15.6" 13" 15.0 +5.7" 16" 12.1" 17.8" (b) Using a sketch of a normal curve, illustrate the proportion of men whose shirt size is M. Calculate this proportion.

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