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Greenston coffee is experiencing financial problems because of competition. Total sales revenue has dropped by 15% and the company wished to establish a sales monitoring process to identify shops that are under-performing. Historically the daily mean sales for a shop has 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 under-performing. 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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