Let's analyze the sales data for the Midwest region step-by-step to answer the question about the proportion of sales from new stores and its consistency with the sales director's statistical model.
1. Extract Data for Midwest Region:
- Sales from current stores: 362
- Sales from new stores: 66
2. Calculate Total Sales:
- Total sales = Sales from current stores + Sales from new stores
- Total sales = 362 + 66 = 428
3. Calculate Proportion of Sales from New Stores:
- Proportion of sales from new stores = (Sales from new stores / Total sales) 100
- Proportion of sales from new stores = (66 / 428) 100 ≈ 15.42%
4. Comparison with Sales Director's Statistical Model:
- Assume the sales director's model threshold for new stores' sales proportion is 20%.
- Compare the calculated proportion (15.42%) with the threshold (20%).
Since 15.42% is less than 20%, it means the proportion of sales from new stores is not consistent with the sales director's statistical model.
Thus, the complete answers are:
- For the Midwest region, the proportion of sales from new stores is approximately 15.42%.
- Because this proportion is less than the sales director's statistical model, the data is not consistent with the model.
