Answer to Question #235291 in Economics for Hastings Mambwe

Question

Sports shirts are frequently classified as S, M, L, XL for small, medium, large

and extra-large neck sizes. S fits a neck circumference of less than 37cm, M

fits between 37 and 40.5cm and L fits between 40.5cm and 44cm while XL fits

necks over 44cm in circumference. The neck circumference of adult males has

a normal distribution with  = 40cm and  = 2cm.

(i) What proportion of shirts should be manufactured in each category?

[6 marks]

(ii) If you wanted to define categories S, M, L, XL so that the categories contained

20%, 30%, 30% and 20% respectively, of the total population of

adult males, what neck sizes must you assign to each of the categories?

[6 marks]

Answer 1

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