Question

8. A shoe retailer wants to expand their sales on a global level and decides to begin marketing to other countries. The retailer wants to ensure that they are having their manufacturer make the correct number of shoes in each size, so he requests that the resident statistician perform an analysis. She finds that the shoe sizes are normally distributed, with the shoes size in Country A having a mean of 6.5 and a standard deviation of 0.4, and the shoe size in Country B having a mean of 7.5 and a standard deviation of 1.2. Please answer A-C

(a) At what percentile would a size 7 shoe be in Country A? Interpret your result in terms of a proportion of the population

(b) at what percentile would a size 7 shoe be in Country B? Interpret your result in terms of a proportion of the population

(c) Suppose that the manufacturer currently only has the technology to make size 7 shoes and below. On which country should the retailer focus their marketing efforts?

Answer 1

Dear a detailed handwritten solution is also provided.... If you are satisfied with my explanations please THUMBS UP.... Thanks in advance for your support dear.....

ANSWER

a)

89.435 percentile

O.89435 proportion of population is below and same as shoe size 7

b)

33.486 percentile

0.33486 proportion of population is below and same as shoe size 7

c)  

Country A. Reason is given in handwritten solution...