## Confidence of Two Independent Samples, Where Population Variance is unknown but assumed to be different

• CI Formula in this Situation:
• Degrees of freedom:

## Practical Example

• This sample is about a Shoe Company Albundy’s.
• The Problem this organization is facing is with left stock in the inventory. So organization has to sell it for losses.
• The data of the sales 3 years is given to us and this company has been selling shoes for 30 years
• Refer Here for the dataset
• Exercise: Find 95% confidence interval using historical data so that Albundy can produce the shoes as per demand
• Last 12 months of sales
• Only for mens shoes
• Only for the USA
• Solution: You need to find out the CI for each shoe size (17 sizes) with 95% confidence
• OutCome Albundy should focus on Supplying following number of shoes to have less losses due to over stock in inventory
• Exercise: In This exercise Try to find by how much is one shop outperforms other shop in terms of sales
• Consider them as independent As our assumption is same people dont but shoes from differnt outlets in same year
• We have two samples whose population variance is unknown but we can assume it to be equal.
• Try to find by how much is one shop outperforms other shop in terms of sales with 95% confidence
• Since all the CI values are starting from negatvie to positive , these two shops are so balanced in terms of sales, they may be bundled together. On Averge they will move together & are predicated to remain identical

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