In this task you need to apply a range of statistical methods (variability and probability measures) that a business can use in planning for quality, inventory and capacity management. In order to achieve this task, you need to

1) Apply the appropriate statistical methods used in business planning for quality, inventory and capacity management on the given scenarios below.

2) Evaluate and justify the use of statistical methods that have been applied on the given scenarios. You need to support your justification by specific organizational examples.

3) Make valid recommendations and judgments for improving business planning through the application of different statistical methods.

First scenario: The following table represents the annual production capacity for one of the local manufacturing business over the first five months of 2022. Month production capacity January 1500 February 1400 March 1450 April 1300 5 May 1200 6 June Instructions: Use the given data in order to forecast and plan the production capacity for June by applying the appropriate statistical methods such as nave, moving average. 1 2 3 4 : 2022. 10