# Question: Greenstone Coffee is experiencing financial pressures due to increased competition

Greenstone Coffee is experiencing financial pressures due to increased competition for its numerous urban coffee shops. Total sales revenue has dropped by 15% and the company wishes to establish a sales monitoring process to identify shops that are underperforming. Historically, the daily mean sales for a shop have been $11,500 with a variance of 4,000,000. Their monitoring plan will take a random sample of 5 days' sales per month and use the sample mean sales to identify shops that are underperforming. Establish the lower limit sales such that only 5% of the shops would have a sample sales mean below this value.

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