In: Statistics and Probability
You are the marketing manager for an online retail store, selling shoes. Currently, for every 1000 people that visit your website you make 283 sales. You have decided to trail a new website design on 100 visitors to the website to see if the sales rate improves. A) How should the 100 people be selected? Explain why this is important? B) Assuming that the new website design has had no effect, what distribution best describes the number of sales out of 100? C) Would it be reasonable to approximate the distribution in (b) with a Normal distribution? If so, what would you use for the mean and standard deviation? D) The trail runs and of the 100 people shown the new website 35 make sales. Assuming that the underlying rates of sales is still 28.3% how likely is it to get 35 or more sales out of 100 visits? E) Assuming that there would be some costs involved with swapping to the new design, do you think it would be worthwhile for the store to change its website? (Note, the value you calculated in part d is known as a p-value, it should be useful in guiding your decision)