TABLE 17.26 SALES FOR CARLSON DEPARTMENT STORE (SMILLIONS) Month Year 1 Year 2 Year 3 Year 4 Year 5 January February March 1.45 1.80 2.03 2.31 1.89 2.02 2.31 2.56 2.28 2.69 1.99 2.42 2.45 2.57 2.42 2.40 2.50 2.09 April May June 1.99 2.32 2.20 2.23 2.39 2.14 2.27 2.21 1.89 2.48 2.73 2.37 2.13 2.43 July August September October 2.31 2.23 1.71 1.90 1.90 2.74 2.13 2.56 4.16 2.29 2.83 2.54 2.97 4.35 November December 4.20 4.04 TABLE 17.27 DEPARTMENT STORE SALES FOR THE COUNTY (S MILLIONS) Month Year 1 Year 2 Year 3 Year 4 Year 5 43.80 January February March April Мay June 46.80 46.80 48.00 48.00 48.60 59.40 58.20 45.60 57.60 53.40 56.40 51.60 57.60 58.20 60.00 57.60 61.80 60.60 60.00 55.20 58.20 56.40 52.80 54.00 57.00 57.60 July August September October November December 51.00 63.00 57.60 58.80 49.80 60.60 47.40 61.80 55.80 69.00 54.60 67.80 56.40 53.40 71.40 54,60 75.00 71.40 65.40 85.20 117.60 114.00 102.00 100.20 121.80
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Forecasting Lost Sales
The Carlson Department Store suffered heavy damage when a hurricane struck on August 31. The store was closed for four months (September through December), and Carlson is now- involved in a dispute with its insurance company about the amount of lost sales during the time the store was closed. Two key issues must be resolved : (1) the amount of sales Carlson would have made if the hurricane had not struck and (2) whether Carlson is entitled to any compensation for excess sales due to increased business activity after the storm. More than $8 billion in federal disaster relief and insurance money came into the county, resulting in increased sales at department stores and numerous other businesses.
Table 17.26 gives Carlson's sales data for the 48 months preceding the storm . Table 17.27 reports total sales for the 48 months preceding the storm for all department stores in the county,as well as the total sales in the county for the four months the Carlson Department Store was closed. Carlson's managers asked you to analyze these data and develop estimates of the lost sales at the Carlson Department Store for the months of September through December. They also asked you to determine whether a case can be made for excess storm-related sales during the same period. If such a case can be made, Carlson is entitled to compensation for excess sales it would have earned in addition to ordinary sales.
Managerial Report
Prepare a report for the managers of the Carlson Department Store that summarizes your findings, forecasts,and recommendations. Include the following:
1. An estimate of sales for Carlson Department Store had there been no hurricane.
2.An estimate of countywide department store sales had there been no hurricane.
3.An estimate of lost sales for the Carlson Department Store for September through December.
In addition, use the countywide actual department stores sales for September through December and the estimate in part (2) to make a case for or against excess storm-related sales.
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