In$-$store product placement is an essential part of being successful in the retail industry.

With all the different brands out there, the competition for attention is fierce, especially

with so many new brands trying to compete with established ones. You would like to

research your company$$s product displays and layout strategy and see if you can have

a powerful influence on a consumer$$s decision of whether or not to purchase your

product by positioning the product in different locations in the store.

With the store manager approval, you have set your first product stand in the front of the

store, in the right hand$-$side of the entrance. You have given your product barcode a

special last digit that you$$ll be able to recognize the sales coming from this location.

You also positioned additional stand with your company product near the bakery $($closer

to the cashiers$)$ and used a different last digit in your barcode to recognize the sales of

the product coming from this stand.

During $14$ days you have collected the following total sales from each stand location.

$[$open Retail Data W$24.$xls file$]$ Note that the two population distributions do not appear

to be normally distributed. Assume alpha $1\%,$ apply the proper statistic test that will help

you to find out if there is a difference between stand locations in terms of sales.

$5.$ What are the hypotheses?

$6.$ What is the test statistic?

$7.$ What is the critical value for this test?

$8.$ What is your conclusion?